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21221199972 = 223271091934003
BaseRepresentation
bin10011110000111000…
…011101000001100100
32000202221102122200100
4103300320131001210
5321430111344342
613425431544100
71350611136450
oct236070350144
960687378610
1021221199972
118aaa8a56a5
124142b2b030
1320026b277b
141054573660
15843092e4c
hex4f0e1d064

21221199972 has 144 divisors (see below), whose sum is σ = 62204222080. Its totient is φ = 5974953984.

The previous prime is 21221199949. The next prime is 21221199973. The reversal of 21221199972 is 27999112212.

It is a super-2 number, since 2×212211999722 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21221199973) 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, 5299323 + ... + 5303325.

Almost surely, 221221199972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221199972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31102111040).

21221199972 is an abundant number, since it is smaller than the sum of its proper divisors (40983022108).

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

21221199972 is a wasteful number, since it uses less digits than its factorization.

21221199972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4317 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The spelling of 21221199972 in words is "twenty-one billion, two hundred twenty-one million, one hundred ninety-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 193 218 252 327 386 436 579 654 763 772 981 1158 1308 1351 1526 1737 1962 2289 2316 2702 3052 3474 3924 4003 4053 4578 5404 6867 6948 8006 8106 9156 12009 12159 13734 16012 16212 21037 24018 24318 27468 28021 36027 42074 48036 48636 56042 63111 72054 84063 84148 112084 126222 144108 147259 168126 189333 252189 252444 294518 336252 378666 436327 441777 504378 589036 757332 772579 872654 883554 1008756 1308981 1325331 1545158 1745308 1767108 2317737 2617962 2650662 3054289 3090316 3926943 4635474 5235924 5301324 5408053 6108578 6953211 7853886 9162867 9270948 10816106 12217156 13906422 15707772 16224159 18325734 21632212 27488601 27812844 32448318 36651468 48672477 54977202 64896636 84211111 97344954 109954404 168422222 194689908 252633333 336844444 505266666 589477777 757899999 1010533332 1178955554 1515799998 1768433331 2357911108 3031599996 3536866662 5305299993 7073733324 10610599986 21221199972