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122048864 = 257544861
BaseRepresentation
bin1110100011001…
…01000101100000
322111122201120022
413101211011200
5222221030424
620035533012
73011253410
oct721450540
9274581508
10122048864
1162991133
1234a5a168
131c393682
14122d0640
15aaac95e
hex7465160

122048864 has 24 divisors (see below), whose sum is σ = 274610448. Its totient is φ = 52306560.

The previous prime is 122048827. The next prime is 122048867. The reversal of 122048864 is 468840221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122048867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 272207 + ... + 272654.

It is an arithmetic number, because the mean of its divisors is an integer number (11442102).

Almost surely, 2122048864 is an apocalyptic number.

122048864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122048864 is an abundant number, since it is smaller than the sum of its proper divisors (152561584).

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

122048864 is an equidigital number, since it uses as much as digits as its factorization.

122048864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544878 (or 544870 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 122048864 is about 11047.5727650919. The cubic root of 122048864 is about 496.0337732813.

The spelling of 122048864 in words is "one hundred twenty-two million, forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 544861 1089722 2179444 3814027 4358888 7628054 8717776 15256108 17435552 30512216 61024432 122048864