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122814540 = 22325682303
BaseRepresentation
bin1110101001000…
…00000001001100
322120002121212200
413110200001030
5222420031130
620104201500
73020622612
oct724400114
9276077780
10122814540
1163364422
1235169290
131c5a1034
141244d6b2
15abae760
hex752004c

122814540 has 36 divisors (see below), whose sum is σ = 372537984. Its totient is φ = 32750496.

The previous prime is 122814539. The next prime is 122814553. The reversal of 122814540 is 45418221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1228145402 = 30166822470823200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340972 + ... + 341331.

Almost surely, 2122814540 is an apocalyptic number.

122814540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122814540 is an abundant number, since it is smaller than the sum of its proper divisors (249723444).

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

122814540 is a wasteful number, since it uses less digits than its factorization.

122814540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682318 (or 682313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 122814540 is about 11082.1721697508. The cubic root of 122814540 is about 497.0689042649.

The spelling of 122814540 in words is "one hundred twenty-two million, eight hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 682303 1364606 2046909 2729212 3411515 4093818 6140727 6823030 8187636 10234545 12281454 13646060 20469090 24562908 30703635 40938180 61407270 122814540