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112152222 = 23371329787
BaseRepresentation
bin1101010111101…
…00111010011110
321211000220221000
412223310322132
5212202332342
615043451130
72531164260
oct653647236
9254026830
10112152222
1158341696
1231686aa6
131a309b80
1410c75b30
159ca544c
hex6af4e9e

112152222 has 128 divisors (see below), whose sum is σ = 317721600. Its totient is φ = 28522368.

The previous prime is 112152169. The next prime is 112152223. The reversal of 112152222 is 222251211.

112152222 is a `hidden beast` number, since 1 + 121 + 522 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112152195 and 112152204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112152223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142113 + ... + 142899.

It is an arithmetic number, because the mean of its divisors is an integer number (2482200).

Almost surely, 2112152222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112152222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158860800).

112152222 is an abundant number, since it is smaller than the sum of its proper divisors (205569378).

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

112152222 is a wasteful number, since it uses less digits than its factorization.

112152222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 112152222 is about 10590.1946157755. The cubic root of 112152222 is about 482.2467329486.

The spelling of 112152222 in words is "one hundred twelve million, one hundred fifty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 29 39 42 54 58 63 78 87 91 117 126 174 182 189 203 234 261 273 351 377 378 406 522 546 609 702 754 783 787 819 1131 1218 1566 1574 1638 1827 2262 2361 2457 2639 3393 3654 4722 4914 5278 5481 5509 6786 7083 7917 10179 10231 10962 11018 14166 15834 16527 20358 20462 21249 22823 23751 30693 33054 42498 45646 47502 49581 61386 68469 71253 71617 92079 99162 136938 142506 143234 148743 159761 184158 205407 214851 276237 296699 297486 319522 410814 429702 479283 552474 593398 616221 644553 890097 958566 1232442 1289106 1437849 1780194 1933659 2076893 2670291 2875698 3867318 4153786 4313547 5340582 6230679 8010873 8627094 12461358 16021746 18692037 37384074 56076111 112152222