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122923152 = 243211711093
BaseRepresentation
bin1110101001110…
…10100010010000
322120022010212100
413110322202100
5222432020102
620110400400
73021554352
oct724724220
9276263770
10122923152
1163428a90
1235200100
131c60b5c1
141247b0d2
15abd1a1c
hex753a890

122923152 has 120 divisors (see below), whose sum is σ = 380922048. Its totient is φ = 36691200.

The previous prime is 122923147. The next prime is 122923181. The reversal of 122923152 is 251329221.

It is a happy number.

It is a super-2 number, since 2×1229231522 = 30220202595230208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111918 + ... + 113010.

Almost surely, 2122923152 is an apocalyptic number.

122923152 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 122923152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190461024).

122923152 is an abundant number, since it is smaller than the sum of its proper divisors (257998896).

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

122923152 is a wasteful number, since it uses less digits than its factorization.

122923152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1180 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 122923152 is about 11087.0713896863. The cubic root of 122923152 is about 497.2153900172.

The spelling of 122923152 in words is "one hundred twenty-two million, nine hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 781 792 852 1093 1136 1278 1562 1584 1704 2186 2343 2556 3124 3279 3408 4372 4686 5112 6248 6558 7029 8744 9372 9837 10224 12023 12496 13116 14058 17488 18744 19674 24046 26232 28116 36069 37488 39348 48092 52464 56232 72138 77603 78696 96184 108207 112464 144276 155206 157392 192368 216414 232809 288552 310412 432828 465618 577104 620824 698427 853633 865656 931236 1241648 1396854 1707266 1731312 1862472 2560899 2793708 3414532 3724944 5121798 5587416 6829064 7682697 10243596 11174832 13658128 15365394 20487192 30730788 40974384 61461576 122923152