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122252040 = 23325339589
BaseRepresentation
bin1110100100101…
…10101100001000
322112001001021100
413102112230020
5222244031130
620044141400
73013060641
oct722265410
9275031240
10122252040
116300a849
1234b37860
131c434cb1
14123446c8
15aaecc60
hex7496b08

122252040 has 48 divisors (see below), whose sum is σ = 397320300. Its totient is φ = 32600448.

The previous prime is 122251999. The next prime is 122252041. The reversal of 122252040 is 40252221.

It can be written as a sum of positive squares in 2 ways, for example, as 102697956 + 19554084 = 10134^2 + 4422^2 .

It is a super-2 number, since 2×1222520402 = 29891122568323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122252041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169435 + ... + 170154.

Almost surely, 2122252040 is an apocalyptic number.

122252040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122252040 is an abundant number, since it is smaller than the sum of its proper divisors (275068260).

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

122252040 is a wasteful number, since it uses less digits than its factorization.

122252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339606 (or 339599 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122252040 is about 11056.7644453520. The cubic root of 122252040 is about 496.3088715272.

The spelling of 122252040 in words is "one hundred twenty-two million, two hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 339589 679178 1018767 1358356 1697945 2037534 2716712 3056301 3395890 4075068 5093835 6112602 6791780 8150136 10187670 12225204 13583560 15281505 20375340 24450408 30563010 40750680 61126020 122252040