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122261364 = 22323396149
BaseRepresentation
bin1110100100110…
…00111101110100
322112001112001200
413102120331310
5222244330424
620044252500
73013130061
oct722307564
9275045050
10122261364
1163016855
1234b41130
131c439304
1412347c68
15ab008c9
hex7498f74

122261364 has 18 divisors (see below), whose sum is σ = 309049650. Its totient is φ = 40753776.

The previous prime is 122261351. The next prime is 122261387. The reversal of 122261364 is 463162221.

It can be written as a sum of positive squares in only one way, i.e., 77264100 + 44997264 = 8790^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1222613642 = 29895682254280992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 1698039 + ... + 1698110.

It is an arithmetic number, because the mean of its divisors is an integer number (17169425).

Almost surely, 2122261364 is an apocalyptic number.

It is an amenable number.

122261364 is an abundant number, since it is smaller than the sum of its proper divisors (186788286).

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

122261364 is a wasteful number, since it uses less digits than its factorization.

122261364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396159 (or 3396154 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 122261364 is about 11057.1860796497. The cubic root of 122261364 is about 496.3214888116.

The spelling of 122261364 in words is "one hundred twenty-two million, two hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3396149 6792298 10188447 13584596 20376894 30565341 40753788 61130682 122261364