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122253072 = 24312312069
BaseRepresentation
bin1110100100101…
…10111100010000
322112001002200120
413102112330100
5222244044242
620044150240
73013063644
oct722267420
9275032616
10122253072
11630105a7
1234b38380
131c4355c6
1412344c24
15aaed1ec
hex7496f10

122253072 has 40 divisors (see below), whose sum is σ = 316229760. Its totient is φ = 40698240.

The previous prime is 122253059. The next prime is 122253083. The reversal of 122253072 is 270352221.

It is a happy number.

It is a super-2 number, since 2×1222530722 = 29891627226874368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58054 + ... + 60122.

It is an arithmetic number, because the mean of its divisors is an integer number (7905744).

Almost surely, 2122253072 is an apocalyptic number.

122253072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122253072 is an abundant number, since it is smaller than the sum of its proper divisors (193976688).

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

122253072 is a wasteful number, since it uses less digits than its factorization.

122253072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 122253072 is about 11056.8111135173. The cubic root of 122253072 is about 496.3102680665.

The spelling of 122253072 in words is "one hundred twenty-two million, two hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1231 2069 2462 3693 4138 4924 6207 7386 8276 9848 12414 14772 16552 19696 24828 29544 33104 49656 59088 99312 2546939 5093878 7640817 10187756 15281634 20375512 30563268 40751024 61126536 122253072