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22123411020 = 22325314319199
BaseRepresentation
bin10100100110101010…
…000111011001001100
32010002211002201120100
4110212222013121030
5330302043123040
614055141251100
71412144614404
oct244652073114
963084081510
1022123411020
1194230a8167
124355103a90
1321175a1669
1410dc307804
158973a9b30
hex526a8764c

22123411020 has 144 divisors (see below), whose sum is σ = 69440716800. Its totient is φ = 5695401600.

The previous prime is 22123410961. The next prime is 22123411021. The reversal of 22123411020 is 2011432122.

It is a happy number.

22123411020 is a `hidden beast` number, since 221 + 2 + 341 + 102 + 0 = 666.

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 = 22123410984 and 22123411002.

It is not an unprimeable number, because it can be changed into a prime (22123411021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2400381 + ... + 2409579.

It is an arithmetic number, because the mean of its divisors is an integer number (482227200).

Almost surely, 222123411020 is an apocalyptic number.

22123411020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34720358400).

22123411020 is an abundant number, since it is smaller than the sum of its proper divisors (47317305780).

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

22123411020 is a wasteful number, since it uses less digits than its factorization.

22123411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9676 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22123411020 its reverse (2011432122), we get a palindrome (24134843142).

The spelling of 22123411020 in words is "twenty-two billion, one hundred twenty-three million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 431 465 558 620 862 930 1116 1293 1395 1724 1860 2155 2586 2790 3879 4310 5172 5580 6465 7758 8620 9199 12930 13361 15516 18398 19395 25860 26722 27597 36796 38790 40083 45995 53444 55194 66805 77580 80166 82791 91990 110388 120249 133610 137985 160332 165582 183980 200415 240498 267220 275970 285169 331164 400830 413955 480996 551940 570338 601245 801660 827910 855507 1140676 1202490 1425845 1655820 1711014 2404980 2566521 2851690 3422028 3964769 4277535 5133042 5703380 7929538 8555070 10266084 11894307 12832605 15859076 17110140 19823845 23788614 25665210 35682921 39647690 47577228 51330420 59471535 71365842 79295380 118943070 122907839 142731684 178414605 237886140 245815678 356829210 368723517 491631356 614539195 713658420 737447034 1106170551 1229078390 1474894068 1843617585 2212341102 2458156780 3687235170 4424682204 5530852755 7374470340 11061705510 22123411020