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22146372 = 2234292357
BaseRepresentation
bin101010001111…
…0110101000100
31112200011010000
41110132311010
521132140442
62110401300
7356145453
oct124366504
945604100
1022146372
1111556996
127500230
134785381
142d26b9a
151e26d4c
hex151ed44

22146372 has 60 divisors (see below), whose sum is σ = 59916780. Its totient is φ = 7124544.

The previous prime is 22146367. The next prime is 22146373. The reversal of 22146372 is 27364122.

22146372 is a `hidden beast` number, since 2 + 21 + 4 + 637 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7584516 + 14561856 = 2754^2 + 3816^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22146373) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8218 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (998613).

Almost surely, 222146372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22146372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29958390).

22146372 is an abundant number, since it is smaller than the sum of its proper divisors (37770408).

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

22146372 is a wasteful number, since it uses less digits than its factorization.

22146372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2391 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 22146372 is about 4705.9932001651. The cubic root of 22146372 is about 280.8239843638.

The spelling of 22146372 in words is "twenty-two million, one hundred forty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 2357 3132 4698 4714 7071 9396 9428 14142 21213 28284 42426 63639 68353 84852 127278 136706 190917 205059 254556 273412 381834 410118 615177 763668 820236 1230354 1845531 2460708 3691062 5536593 7382124 11073186 22146372