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23085252 = 22321767563
BaseRepresentation
bin101100000010…
…0000011000100
31121102212000100
41120010003010
521402212002
62142444100
7400135641
oct130040304
947385010
1023085252
1112038323
127893630
134a23818
1430ccdc8
15206011c
hex16040c4

23085252 has 72 divisors (see below), whose sum is σ = 62820576. Its totient is φ = 7121664.

The previous prime is 23085241. The next prime is 23085277. The reversal of 23085252 is 25258032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40723 + ... + 41285.

It is an arithmetic number, because the mean of its divisors is an integer number (872508).

Almost surely, 223085252 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 23085252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31410288).

23085252 is an abundant number, since it is smaller than the sum of its proper divisors (39735324).

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

23085252 is a wasteful number, since it uses less digits than its factorization.

23085252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 23085252 is about 4804.7114377452. The cubic root of 23085252 is about 284.7376348157.

The spelling of 23085252 in words is "twenty-three million, eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 563 603 612 804 1126 1139 1206 1689 2252 2278 2412 3378 3417 4556 5067 6756 6834 9571 10134 10251 13668 19142 20268 20502 28713 37721 38284 41004 57426 75442 86139 113163 114852 150884 172278 226326 339489 344556 452652 641257 678978 1282514 1357956 1923771 2565028 3847542 5771313 7695084 11542626 23085252