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122350240 = 255764689
BaseRepresentation
bin1110100101011…
…10101010100000
322112020000222101
413102232222200
5222310201430
620050220144
73013650145
oct722565240
9275200871
10122350240
1163077601
1234b84654
131c46a8bc
141236c3cc
15ab1bdca
hex74aeaa0

122350240 has 24 divisors (see below), whose sum is σ = 289052820. Its totient is φ = 48940032.

The previous prime is 122350219. The next prime is 122350279. The reversal of 122350240 is 42053221.

It can be written as a sum of positive squares in 2 ways, for example, as 118461456 + 3888784 = 10884^2 + 1972^2 .

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, 382185 + ... + 382504.

Almost surely, 2122350240 is an apocalyptic number.

122350240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122350240 is an abundant number, since it is smaller than the sum of its proper divisors (166702580).

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

122350240 is an equidigital number, since it uses as much as digits as its factorization.

122350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764704 (or 764696 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 122350240 is about 11061.2042743998. The cubic root of 122350240 is about 496.4417240816.

The spelling of 122350240 in words is "one hundred twenty-two million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 764689 1529378 3058756 3823445 6117512 7646890 12235024 15293780 24470048 30587560 61175120 122350240