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122416368 = 2438330727
BaseRepresentation
bin1110100101111…
…10110011110000
322112100101200120
413102332303300
5222314310433
620051450240
73014344014
oct722766360
9275311616
10122416368
1163112258
1234bb6980
131c491a29
1412388544
15ab317b3
hex74becf0

122416368 has 40 divisors (see below), whose sum is σ = 320062848. Its totient is φ = 40312512.

The previous prime is 122416363. The next prime is 122416369. The reversal of 122416368 is 863614221.

It is a super-2 number, since 2×1224163682 = 29971534308622848, 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 not an unprimeable number, because it can be changed into a prime (122416361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11380 + ... + 19347.

Almost surely, 2122416368 is an apocalyptic number.

It is an amenable number.

122416368 is an abundant number, since it is smaller than the sum of its proper divisors (197646480).

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

122416368 is a wasteful number, since it uses less digits than its factorization.

122416368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30821 (or 30815 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 122416368 is about 11064.1930568840. The cubic root of 122416368 is about 496.5311471065.

The spelling of 122416368 in words is "one hundred twenty-two million, four hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 30727 61454 92181 122908 184362 245816 368724 491632 737448 1474896 2550341 5100682 7651023 10201364 15302046 20402728 30604092 40805456 61208184 122416368