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23282136 = 23321911693
BaseRepresentation
bin101100011010…
…0000111011000
31121210212002100
41120310013120
521430012021
62151003400
7401615643
oct130640730
947725070
1023282136
1112162239
127969560
134a92317
143140a5a
15209d626
hex16341d8

23282136 has 48 divisors (see below), whose sum is σ = 63423360. Its totient is φ = 7715520.

The previous prime is 23282131. The next prime is 23282143. The reversal of 23282136 is 63128232.

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 (23282131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12906 + ... + 14598.

It is an arithmetic number, because the mean of its divisors is an integer number (1321320).

Almost surely, 223282136 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 23282136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711680).

23282136 is an abundant number, since it is smaller than the sum of its proper divisors (40141224).

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

23282136 is a wasteful number, since it uses less digits than its factorization.

23282136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1889 counting only the distinct ones).

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

The square root of 23282136 is about 4825.1565777703. The cubic root of 23282136 is about 285.5448119713.

The spelling of 23282136 in words is "twenty-three million, two hundred eighty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1693 1719 2292 3386 3438 4584 5079 6772 6876 10158 13544 13752 15237 20316 30474 40632 60948 121896 323363 646726 970089 1293452 1940178 2586904 2910267 3880356 5820534 7760712 11641068 23282136