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122933808 = 2433383743
BaseRepresentation
bin1110101001111…
…01001000110000
322120022200111000
413110331020300
5222432340213
620110522000
73021630414
oct724751060
9276280430
10122933808
1163435a98
1235206300
131c6133ca
1412480d44
15abd4c73
hex753d230

122933808 has 80 divisors (see below), whose sum is σ = 354263040. Its totient is φ = 40815936.

The previous prime is 122933803. The next prime is 122933843. The reversal of 122933808 is 808339221.

It is a happy number.

It is a super-2 number, since 2×1229338082 = 30225442298761728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122933801) by changing a digit.

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, 165085 + ... + 165827.

It is an arithmetic number, because the mean of its divisors is an integer number (4428288).

Almost surely, 2122933808 is an apocalyptic number.

122933808 is a gapful number since it is divisible by the number (18) 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 122933808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177131520).

122933808 is an abundant number, since it is smaller than the sum of its proper divisors (231329232).

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

122933808 is a wasteful number, since it uses less digits than its factorization.

122933808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 122933808 is about 11087.5519389990. The cubic root of 122933808 is about 497.2297571889.

The spelling of 122933808 in words is "one hundred twenty-two million, nine hundred thirty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 383 432 743 766 1149 1486 1532 2229 2298 2972 3064 3447 4458 4596 5944 6128 6687 6894 8916 9192 10341 11888 13374 13788 17832 18384 20061 20682 26748 27576 35664 40122 41364 53496 55152 80244 82728 106992 160488 165456 284569 320976 569138 853707 1138276 1707414 2276552 2561121 3414828 4553104 5122242 6829656 7683363 10244484 13659312 15366726 20488968 30733452 40977936 61466904 122933808