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122314580 = 22524732
BaseRepresentation
bin1110100101001…
…01111101010100
322112011020001122
413102211331110
5222303031310
620045343112
73013441163
oct722457524
9275136048
10122314580
1163052833
1234b67a98
131c4575bb
141235d3da
15ab11555
hex74a5f54

122314580 has 18 divisors (see below), whose sum is σ = 256964526. Its totient is φ = 48906048.

The previous prime is 122314567. The next prime is 122314627. The reversal of 122314580 is 85413221.

122314580 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 36529936 + 85784644 = 6044^2 + 9262^2 .

122314580 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48224 + ... + 50696.

It is an arithmetic number, because the mean of its divisors is an integer number (14275807).

Almost surely, 2122314580 is an apocalyptic number.

122314580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122314580 is an abundant number, since it is smaller than the sum of its proper divisors (134649946).

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

122314580 is an frugal number, since it uses more digits than its factorization.

122314580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 122314580 is about 11059.5922167140. The cubic root of 122314580 is about 496.3934886986.

The spelling of 122314580 in words is "one hundred twenty-two million, three hundred fourteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 2473 4946 9892 12365 24730 49460 6115729 12231458 24462916 30578645 61157290 122314580