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122252520 = 23351378367
BaseRepresentation
bin1110100100101…
…10110011101000
322112001001221010
413102112303220
5222244040040
620044143520
73013062225
oct722266350
9275031833
10122252520
1163010145
1234b37ba0
131c435290
141234494c
15aaece80
hex7496ce8

122252520 has 64 divisors (see below), whose sum is σ = 394974720. Its totient is φ = 30092544.

The previous prime is 122252519. The next prime is 122252531. The reversal of 122252520 is 25252221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37624 + ... + 40743.

It is an arithmetic number, because the mean of its divisors is an integer number (6171480).

Almost surely, 2122252520 is an apocalyptic number.

122252520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122252520 is an abundant number, since it is smaller than the sum of its proper divisors (272722200).

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

122252520 is a wasteful number, since it uses less digits than its factorization.

122252520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78394 (or 78390 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 122252520 is about 11056.7861514999. The cubic root of 122252520 is about 496.3095210813.

The spelling of 122252520 in words is "one hundred twenty-two million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 78367 156734 235101 313468 391835 470202 626936 783670 940404 1018771 1175505 1567340 1880808 2037542 2351010 3056313 3134680 4075084 4702020 5093855 6112626 8150168 9404040 10187710 12225252 15281565 20375420 24450504 30563130 40750840 61126260 122252520