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112223000032 = 25111361402037
BaseRepresentation
bin110100010000100000…
…0110001010111100000
3101201200000101002010121
41220201000301113200
53314313042000112
6123315440210024
711051663522053
oct1504100612740
9351600332117
10112223000032
1143658a59a20
12198bb309914
13a775c22340
14560852aa9a
152dbc359407
hex1a210315e0

112223000032 has 96 divisors (see below), whose sum is σ = 263820551904. Its totient is φ = 46314547200.

The previous prime is 112223000027. The next prime is 112223000077. The reversal of 112223000032 is 230000322211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78118 + ... + 480154.

It is an arithmetic number, because the mean of its divisors is an integer number (2748130749).

Almost surely, 2112223000032 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 112223000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131910275952).

112223000032 is an abundant number, since it is smaller than the sum of its proper divisors (151597551872).

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

112223000032 is a wasteful number, since it uses less digits than its factorization.

112223000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402132 (or 402124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 112223000032 its reverse (230000322211), we get a palindrome (342223322243).

The spelling of 112223000032 in words is "one hundred twelve billion, two hundred twenty-three million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 61 88 104 122 143 176 208 244 286 352 416 488 572 671 793 976 1144 1342 1586 1952 2288 2684 3172 4576 5368 6344 8723 10736 12688 17446 21472 25376 34892 69784 139568 279136 402037 804074 1608148 3216296 4422407 5226481 6432592 8844814 10452962 12865184 17689628 20905924 24524257 35379256 41811848 49048514 57491291 70758512 83623696 98097028 114982582 141517024 167247392 196194056 229965164 269766827 318815341 392388112 459930328 539533654 637630682 784776224 919860656 1079067308 1275261364 1839721312 2158134616 2550522728 3506968751 4316269232 5101045456 7013937502 8632538464 10202090912 14027875004 28055750008 56111500016 112223000032