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122494944 = 25311138923
BaseRepresentation
bin1110100110100…
…01111111100000
322112111101110210
413103101333200
5222324314234
620053254120
73015122055
oct723217740
9275441423
10122494944
11631662a0
1235034340
131c4bb720
14123a902c
15ab49be9
hex74d1fe0

122494944 has 96 divisors (see below), whose sum is σ = 377806464. Its totient is φ = 34260480.

The previous prime is 122494943. The next prime is 122494973. The reversal of 122494944 is 449494221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1224949442 = 30010022611126272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122494943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9267 + ... + 18189.

It is an arithmetic number, because the mean of its divisors is an integer number (3935484).

Almost surely, 2122494944 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 122494944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188903232).

122494944 is an abundant number, since it is smaller than the sum of its proper divisors (255311520).

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

122494944 is a wasteful number, since it uses less digits than its factorization.

122494944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960 (or 8952 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 122494944 is about 11067.7434014346. The cubic root of 122494944 is about 496.6373613526.

The spelling of 122494944 in words is "one hundred twenty-two million, four hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 8923 13728 17846 26769 35692 53538 71384 98153 107076 115999 142768 196306 214152 231998 285536 294459 347997 392612 428304 463996 588918 695994 785224 856608 927992 1177836 1275989 1391988 1570448 1855984 2355672 2551978 2783976 3140896 3711968 3827967 4711344 5103956 5567952 7655934 9422688 10207912 11135904 15311868 20415824 30623736 40831648 61247472 122494944