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22002122032 = 24113147239359
BaseRepresentation
bin10100011111011011…
…011011110100110000
32002210100212121100121
4110133123123310300
5330030020401112
614035125500024
71406142644242
oct243733336460
962710777317
1022002122032
119370695a30
124320571614
1320c8415b27
1410ca174092
1588b8ec407
hex51f6dbd30

22002122032 has 160 divisors (see below), whose sum is σ = 49368268800. Its totient is φ = 9406521600.

The previous prime is 22002122029. The next prime is 22002122033. The reversal of 22002122032 is 23022120022.

It is a super-2 number, since 2×220021220322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22002121997 and 22002122015.

It is not an unprimeable number, because it can be changed into a prime (22002122033) 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, 61287069 + ... + 61287427.

It is an arithmetic number, because the mean of its divisors is an integer number (308551680).

Almost surely, 222002122032 is an apocalyptic number.

22002122032 is a gapful number since it is divisible by the number (22) 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 22002122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684134400).

22002122032 is an abundant number, since it is smaller than the sum of its proper divisors (27366146768).

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

22002122032 is a wasteful number, since it uses less digits than its factorization.

22002122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22002122032 its reverse (23022120022), we get a palindrome (45024242054).

The spelling of 22002122032 in words is "twenty-two billion, two million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 47 62 88 94 124 176 188 239 248 341 359 376 478 496 517 682 718 752 956 1034 1364 1436 1457 1912 2068 2629 2728 2872 2914 3824 3949 4136 5258 5456 5744 5828 7409 7898 8272 10516 11129 11233 11656 14818 15796 16027 16873 21032 22258 22466 23312 29636 31592 32054 33746 42064 44516 44932 59272 63184 64108 67492 81499 85801 89032 89864 118544 122419 123563 128216 134984 162998 171602 178064 179728 185603 244838 247126 256432 269968 325996 343204 348223 371206 489676 494252 523063 651992 686408 696446 742412 943811 979352 988504 1046126 1303984 1372816 1392892 1484824 1887622 1958704 1977008 2092252 2659831 2785784 2969648 3775244 3830453 4032647 4184504 5319662 5571568 5753693 7550488 7660906 8065294 8369008 10639324 11507386 15100976 15321812 16130588 21278648 23014772 29258141 30643624 32261176 42557296 44359117 46029544 58516282 61287248 64522352 88718234 92059088 117032564 125012057 177436468 234065128 250024114 354872936 468130256 500048228 709745872 1000096456 1375132627 2000192912 2750265254 5500530508 11001061016 22002122032