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22114368 = 263238393
BaseRepresentation
bin101010001011…
…1000001000000
31112121112012200
41110113001000
521130124433
62105553200
7355653243
oct124270100
945545180
1022114368
1111534941
1274a5800
134773933
142d1925a
151e1c613
hex1517040

22114368 has 42 divisors (see below), whose sum is σ = 63388494. Its totient is φ = 7371264.

The previous prime is 22114361. The next prime is 22114381. The reversal of 22114368 is 86341122.

22114368 is a `hidden beast` number, since 221 + 1 + 436 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17239104 + 4875264 = 4152^2 + 2208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22114361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18621 + ... + 19772.

Almost surely, 222114368 is an apocalyptic number.

It is an amenable number.

22114368 is an abundant number, since it is smaller than the sum of its proper divisors (41274126).

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

22114368 is a wasteful number, since it uses less digits than its factorization.

22114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38411 (or 38398 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 22114368 is about 4702.5916259016. The cubic root of 22114368 is about 280.6886450618.

The spelling of 22114368 in words is "twenty-two million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 38393 76786 115179 153572 230358 307144 345537 460716 614288 691074 921432 1228576 1382148 1842864 2457152 2764296 3685728 5528592 7371456 11057184 22114368