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122468192 = 25711232161
BaseRepresentation
bin1110100110010…
…11011101100000
322112110000202222
413103023131200
5222322440232
620052530212
73014651060
oct723133540
9275400688
10122468192
1163148190
1235020968
131c4ac4b2
141239d3a0
15ab41d12
hex74cb760

122468192 has 96 divisors (see below), whose sum is σ = 313818624. Its totient is φ = 45619200.

The previous prime is 122468173. The next prime is 122468233. The reversal of 122468192 is 291864221.

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, 55592 + ... + 57752.

It is an arithmetic number, because the mean of its divisors is an integer number (3268944).

Almost surely, 2122468192 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 122468192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156909312).

122468192 is an abundant number, since it is smaller than the sum of its proper divisors (191350432).

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

122468192 is a wasteful number, since it uses less digits than its factorization.

122468192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2204 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 122468192 is about 11066.5347783306. The cubic root of 122468192 is about 496.6012047311.

The spelling of 122468192 in words is "one hundred twenty-two million, four hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 154 161 176 184 224 253 308 322 352 368 506 616 644 736 1012 1232 1288 1771 2024 2161 2464 2576 3542 4048 4322 5152 7084 8096 8644 14168 15127 17288 23771 28336 30254 34576 47542 49703 56672 60508 69152 95084 99406 121016 166397 190168 198812 242032 332794 347921 380336 397624 484064 546733 665588 695842 760672 795248 1093466 1331176 1391684 1590496 2186932 2662352 2783368 3827131 4373864 5324704 5566736 7654262 8747728 11133472 15308524 17495456 30617048 61234096 122468192