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192122112 = 2837132749
BaseRepresentation
bin10110111001110…
…00110100000000
3111101111210222210
423130320310000
5343140401422
631021502120
74522003530
oct1334706400
9441453883
10192122112
11994a2206
1254411940
1330a59630
141b7314c0
1511d0010c
hexb738d00

192122112 has 144 divisors (see below), whose sum is σ = 629552000. Its totient is φ = 50651136.

The previous prime is 192122107. The next prime is 192122143. The reversal of 192122112 is 211221291.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68514 + ... + 71262.

Almost surely, 2192122112 is an apocalyptic number.

192122112 is a gapful number since it is divisible by the number (12) 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 192122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314776000).

192122112 is an abundant number, since it is smaller than the sum of its proper divisors (437429888).

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

192122112 is a wasteful number, since it uses less digits than its factorization.

192122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2774 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 192122112 is about 13860.8120974206. The cubic root of 192122112 is about 577.0221049675.

The spelling of 192122112 in words is "one hundred ninety-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2749 2912 3328 4368 4992 5376 5498 5824 8247 8736 9984 10996 11648 16494 17472 19243 21992 23296 32988 34944 35737 38486 43984 57729 65976 69888 71474 76972 87968 107211 115458 131952 142948 153944 175936 214422 230916 250159 263904 285896 307888 351872 428844 461832 500318 527808 571792 615776 703744 750477 857688 923664 1000636 1055616 1143584 1231552 1500954 1715376 1847328 2001272 2111232 2287168 2463104 3001908 3430752 3694656 4002544 4574336 4926208 6003816 6861504 7389312 8005088 9148672 12007632 13723008 14778624 16010176 24015264 27446016 32020352 48030528 64040704 96061056 192122112