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122256672 = 2531273507
BaseRepresentation
bin1110100100101…
…11110100100000
322112001021121220
413102113310200
5222244203142
620044215040
73013110306
oct722276440
9275037556
10122256672
116301327a
1234b3a480
131c437135
1412346276
15aaee2ec
hex7497d20

122256672 has 24 divisors (see below), whose sum is σ = 320924016. Its totient is φ = 40752192.

The previous prime is 122256623. The next prime is 122256727. The reversal of 122256672 is 276652221.

It is a tau number, because it is divible by the number of its divisors (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 3 ways as a sum of consecutive naturals, for example, 636658 + ... + 636849.

It is an arithmetic number, because the mean of its divisors is an integer number (13371834).

Almost surely, 2122256672 is an apocalyptic number.

122256672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122256672 is an abundant number, since it is smaller than the sum of its proper divisors (198667344).

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

122256672 is a wasteful number, since it uses less digits than its factorization.

122256672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273520 (or 1273512 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 122256672 is about 11056.9739079008. The cubic root of 122256672 is about 496.3151396535.

The spelling of 122256672 in words is "one hundred twenty-two million, two hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1273507 2547014 3820521 5094028 7641042 10188056 15282084 20376112 30564168 40752224 61128336 122256672