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21220002022032 = 2433114499945409
BaseRepresentation
bin1001101001100101010101…
…01011101100001010010000
32210010121112102111121121000
410310302222223230022100
510240132031004201112
6113044200115302000
74320044301062652
oct464625253541220
983117472447530
1021220002022032
116841396a34350
1224686b38aa900
13bac064803828
145350a70366d2
1526beaaa8b7dc
hex134caaaec290

21220002022032 has 160 divisors (see below), whose sum is σ = 66594465360000. Its totient is φ = 6415981608960.

The previous prime is 21220002022019. The next prime is 21220002022033. The reversal of 21220002022032 is 23022020002212.

21220002022032 is a `hidden beast` number, since 212 + 200 + 0 + 2 + 0 + 220 + 32 = 666.

It is a super-2 number, since 2×212200020220322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220002021996 and 21220002022014.

It is not an unprimeable number, because it can be changed into a prime (21220002022033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2839057 + ... + 7106352.

It is an arithmetic number, because the mean of its divisors is an integer number (416215408500).

Almost surely, 221220002022032 is an apocalyptic number.

21220002022032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21220002022032 is an abundant number, since it is smaller than the sum of its proper divisors (45374463337968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21220002022032 is a wasteful number, since it uses less digits than its factorization.

21220002022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945886 (or 9945874 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21220002022032 its reverse (23022020002212), we get a palindrome (44242022024244).

The spelling of 21220002022032 in words is "twenty-one trillion, two hundred twenty billion, two million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 449 528 594 792 898 1188 1347 1584 1796 2376 2694 3592 4041 4752 4939 5388 7184 8082 9878 10776 12123 14817 16164 19756 21552 24246 29634 32328 39512 44451 48492 59268 64656 79024 88902 96984 118536 133353 177804 193968 237072 266706 355608 533412 711216 1066824 2133648 9945409 19890818 29836227 39781636 59672454 79563272 89508681 109399499 119344908 159126544 179017362 218798998 238689816 268526043 328198497 358034724 437597996 477379632 537052086 656396994 716069448 875195992 984595491 1074104172 1312793988 1432138896 1750391984 1969190982 2148208344 2625587976 2953786473 3938381964 4296416688 4465488641 5251175952 5907572946 7876763928 8930977282 11815145892 13396465923 15753527856 17861954564 23630291784 26792931846 35723909128 40189397769 47260583568 49120375051 53585863692 71447818256 80378795538 98240750102 107171727384 120568193307 147361125153 160757591076 196481500204 214343454768 241136386614 294722250306 321515182152 392963000408 442083375459 482272773228 589444500612 643030364304 785926000816 884166750918 964545546456 1178889001224 1326250126377 1768333501836 1929091092912 2357778002448 2652500252754 3536667003672 5305000505508 7073334007344 10610001011016 21220002022032