Search a number
-
+
22373372112 = 2437136183969
BaseRepresentation
bin10100110101100011…
…101001000011010000
32010202020110001201120
4110311203221003100
5331310040401422
614140031002240
71421301345060
oct246543510320
963666401646
1022373372112
119541204683
124404969380
1321572cc430
1411235b33a0
158ae2d245c
hex5358e90d0

22373372112 has 160 divisors (see below), whose sum is σ = 72302872320. Its totient is φ = 5803868160.

The previous prime is 22373372101. The next prime is 22373372117. The reversal of 22373372112 is 21127337322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22373372117) 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, 224464 + ... + 308432.

It is an arithmetic number, because the mean of its divisors is an integer number (451892952).

Almost surely, 222373372112 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 22373372112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36151436160).

22373372112 is an abundant number, since it is smaller than the sum of its proper divisors (49929500208).

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

22373372112 is a wasteful number, since it uses less digits than its factorization.

22373372112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84061 (or 84055 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The spelling of 22373372112 in words is "twenty-two billion, three hundred seventy-three million, three hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 61 78 84 91 104 112 122 156 168 182 183 208 244 273 312 336 364 366 427 488 546 624 728 732 793 854 976 1092 1281 1456 1464 1586 1708 2184 2379 2562 2928 3172 3416 4368 4758 5124 5551 6344 6832 9516 10248 11102 12688 16653 19032 20496 22204 33306 38064 44408 66612 83969 88816 133224 167938 251907 266448 335876 503814 587783 671752 1007628 1091597 1175566 1343504 1763349 2015256 2183194 2351132 3274791 3526698 4030512 4366388 4702264 5122109 6549582 7053396 7641179 8732776 9404528 10244218 13099164 14106792 15282358 15366327 17465552 20488436 22923537 26198328 28213584 30564716 30732654 35854763 40976872 45847074 52396656 61129432 61465308 66587417 71709526 81953744 91694148 107564289 122258864 122930616 133174834 143419052 183388296 199762251 215128578 245861232 266349668 286838104 366776592 399524502 430257156 466111919 532699336 573676208 799049004 860514312 932223838 1065398672 1398335757 1598098008 1721028624 1864447676 2796671514 3196196016 3728895352 5593343028 7457790704 11186686056 22373372112