Search a number
-
+
21222122311200 = 2535222738953969
BaseRepresentation
bin1001101001101001010010…
…00011111100111000100000
32210010211000012012110112110
410310310221003330320200
510240200401302424300
6113045150340355320
74320150655202016
oct464645103747040
983124005173473
1021222122311200
11684228486aa48
122468ba59a5b40
13bac311b765c5
145352288848b6
1526c081cb0550
hex134d290fce20

21222122311200 has 144 divisors (see below), whose sum is σ = 69382318309920. Its totient is φ = 5634301931520.

The previous prime is 21222122311189. The next prime is 21222122311231. The reversal of 21222122311200 is 211322122212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18932185 + ... + 20021784.

It is an arithmetic number, because the mean of its divisors is an integer number (481821654930).

Almost surely, 221222122311200 is an apocalyptic number.

21222122311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222122311200 is an abundant number, since it is smaller than the sum of its proper divisors (48160195998720).

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

21222122311200 is a wasteful number, since it uses less digits than its factorization.

21222122311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38954219 (or 38954206 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21222122311200 its reverse (211322122212), we get a palindrome (21433444433412).

The spelling of 21222122311200 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 227 240 300 400 454 480 600 681 800 908 1135 1200 1362 1816 2270 2400 2724 3405 3632 4540 5448 5675 6810 7264 9080 10896 11350 13620 17025 18160 21792 22700 27240 34050 36320 45400 54480 68100 90800 108960 136200 181600 272400 544800 38953969 77907938 116861907 155815876 194769845 233723814 311631752 389539690 467447628 584309535 623263504 779079380 934895256 973849225 1168619070 1246527008 1558158760 1869790512 1947698450 2337238140 2921547675 3116317520 3739581024 3895396900 4674476280 5843095350 6232635040 7790793800 8842550963 9348952560 11686190700 15581587600 17685101926 18697905120 23372381400 26527652889 31163175200 35370203852 44212754815 46744762800 53055305778 70740407704 88425509630 93489525600 106110611556 132638264445 141480815408 176851019260 212221223112 221063774075 265276528890 282961630816 353702038520 424442446224 442127548150 530553057780 663191322225 707404077040 848884892448 884255096300 1061106115560 1326382644450 1414808154080 1768510192600 2122212231120 2652765288900 3537020385200 4244424462240 5305530577800 7074040770400 10611061155600 21222122311200