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22949137764 = 223271915730529
BaseRepresentation
bin10101010111111000…
…000000110101100100
32012020100211222201100
4111113320000311210
5333444434402024
614313115400100
71441462311120
oct252770006544
965210758640
1022949137764
11980720a963
124545753030
132219691477
141179c4c580
158e4b147c9
hex557e00d64

22949137764 has 144 divisors (see below), whose sum is σ = 70233654400. Its totient is φ = 6172028928.

The previous prime is 22949137763. The next prime is 22949137781. The reversal of 22949137764 is 46773194922.

22949137764 is a `hidden beast` number, since 2 + 29 + 491 + 3 + 77 + 64 = 666.

It is a super-2 number, since 2×229491377642 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22949137764.

It is not an unprimeable number, because it can be changed into a prime (22949137763) 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, 736452 + ... + 766980.

Almost surely, 222949137764 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 22949137764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35116827200).

22949137764 is an abundant number, since it is smaller than the sum of its proper divisors (47284516636).

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

22949137764 is a wasteful number, since it uses less digits than its factorization.

22949137764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30722 (or 30717 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 22949137764 in words is "twenty-two billion, nine hundred forty-nine million, one hundred thirty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 157 171 228 252 266 314 342 399 471 532 628 684 798 942 1099 1197 1413 1596 1884 2198 2394 2826 2983 3297 4396 4788 5652 5966 6594 8949 9891 11932 13188 17898 19782 20881 26847 30529 35796 39564 41762 53694 61058 62643 83524 91587 107388 122116 125286 183174 187929 213703 250572 274761 366348 375858 427406 549522 580051 641109 751716 854812 1099044 1160102 1282218 1740153 1923327 2320204 2564436 3480306 3846654 4060357 4793053 5220459 6960612 7693308 8120714 9586106 10440918 12181071 14379159 16241428 19172212 20881836 24362142 28758318 33551371 36543213 43137477 48724284 57516636 67102742 73086426 86274954 91068007 100654113 134205484 146172852 172549908 182136014 201308226 273204021 301962339 364272028 402616452 546408042 603924678 637476049 819612063 1092816084 1207849356 1274952098 1639224126 1912428147 2549904196 3278448252 3824856294 5737284441 7649712588 11474568882 22949137764