Search a number
-
+
23213952 = 27342239
BaseRepresentation
bin101100010001…
…1011110000000
31121200101120000
41120203132000
521420321302
62145320000
7401213106
oct130433600
947611500
1023213952
1112115a93
127936000
134a6a288
143123c76
15208831c
hex1623780

23213952 has 80 divisors (see below), whose sum is σ = 69115200. Its totient is φ = 7734528.

The previous prime is 23213951. The next prime is 23213987. The reversal of 23213952 is 25931232.

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 (23213951) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9249 + ... + 11487.

It is an arithmetic number, because the mean of its divisors is an integer number (863940).

Almost surely, 223213952 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 23213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34557600).

23213952 is an abundant number, since it is smaller than the sum of its proper divisors (45901248).

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

23213952 is an equidigital number, since it uses as much as digits as its factorization.

23213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2244 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 23213952 is about 4818.0859270046. The cubic root of 23213952 is about 285.2657908277.

The spelling of 23213952 in words is "twenty-three million, two hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2239 2592 3456 4478 5184 6717 8956 10368 13434 17912 20151 26868 35824 40302 53736 60453 71648 80604 107472 120906 143296 161208 181359 214944 241812 286592 322416 362718 429888 483624 644832 725436 859776 967248 1289664 1450872 1934496 2579328 2901744 3868992 5803488 7737984 11606976 23213952