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122315140 = 22517333529
BaseRepresentation
bin1110100101001…
…10000110000100
322112011020211101
413102212012010
5222303041030
620045345444
73013442623
oct722460604
9275136741
10122315140
11630531a2
1234b68284
131c45792c
141235d6ba
15ab117ca
hex74a6184

122315140 has 24 divisors (see below), whose sum is σ = 257082840. Its totient is φ = 48883968.

The previous prime is 122315129. The next prime is 122315183. The reversal of 122315140 is 41513221.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 121925764 = 624^2 + 11042^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32896 + ... + 36424.

It is an arithmetic number, because the mean of its divisors is an integer number (10711785).

Almost surely, 2122315140 is an apocalyptic number.

122315140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122315140 is an abundant number, since it is smaller than the sum of its proper divisors (134767700).

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

122315140 is a wasteful number, since it uses less digits than its factorization.

122315140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 122315140 is about 11059.6175340741. The cubic root of 122315140 is about 496.3942462533.

Adding to 122315140 its reverse (41513221), we get a palindrome (163828361).

It can be divided in two parts, 12231 and 5140, that added together give a palindrome (17371).

The spelling of 122315140 in words is "one hundred twenty-two million, three hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1733 3466 3529 6932 7058 8665 14116 17330 17645 34660 35290 70580 6115757 12231514 24463028 30578785 61157570 122315140