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122277996 = 223219533373
BaseRepresentation
bin1110100100111…
…01000001101100
322112002100212200
413102131001230
5222300343441
620044501500
73013226421
oct722350154
9275070780
10122277996
11630282a5
1234b4a890
131c443a59
141234dd48
15ab057b6
hex749d06c

122277996 has 72 divisors (see below), whose sum is σ = 331596720. Its totient is φ = 37874304.

The previous prime is 122277971. The next prime is 122277997. The reversal of 122277996 is 699772221.

It is not an unprimeable number, because it can be changed into a prime (122277997) 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 23 ways as a sum of consecutive naturals, for example, 34566 + ... + 37938.

It is an arithmetic number, because the mean of its divisors is an integer number (4605510).

Almost surely, 2122277996 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 122277996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165798360).

122277996 is an abundant number, since it is smaller than the sum of its proper divisors (209318724).

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

122277996 is a wasteful number, since it uses less digits than its factorization.

122277996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3450 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 122277996 is about 11057.9381441569. The cubic root of 122277996 is about 496.3439937264.

The spelling of 122277996 in words is "one hundred twenty-two million, two hundred seventy-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 159 171 212 228 318 342 477 636 684 954 1007 1908 2014 3021 3373 4028 6042 6746 9063 10119 12084 13492 18126 20238 30357 36252 40476 60714 64087 121428 128174 178769 192261 256348 357538 384522 536307 576783 715076 769044 1072614 1153566 1608921 2145228 2307132 3217842 3396611 6435684 6793222 10189833 13586444 20379666 30569499 40759332 61138998 122277996