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23149632 = 2631197113
BaseRepresentation
bin101100001001…
…1110001000000
31121120010022210
41120103301000
521411242012
62144102120
7400524432
oct130236100
947503283
1023149632
1112081730
127904940
134a46c0c
143108652
15207423c
hex1613c40

23149632 has 112 divisors (see below), whose sum is σ = 68104512. Its totient is φ = 6881280.

The previous prime is 23149589. The next prime is 23149663. The reversal of 23149632 is 23694132.

It is a self number, because there is not a number n which added to its sum of digits gives 23149632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204808 + ... + 204920.

It is an arithmetic number, because the mean of its divisors is an integer number (608076).

Almost surely, 223149632 is an apocalyptic number.

23149632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34052256).

23149632 is an abundant number, since it is smaller than the sum of its proper divisors (44954880).

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

23149632 is a wasteful number, since it uses less digits than its factorization.

23149632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 23149632 is about 4811.4064471836. The cubic root of 23149632 is about 285.0020806250.

The spelling of 23149632 in words is "twenty-three million, one hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 113 132 176 192 194 226 264 291 339 352 388 452 528 582 678 704 776 904 1056 1067 1164 1243 1356 1552 1808 2112 2134 2328 2486 2712 3104 3201 3616 3729 4268 4656 4972 5424 6208 6402 7232 7458 8536 9312 9944 10848 10961 12804 14916 17072 18624 19888 21696 21922 25608 29832 32883 34144 39776 43844 51216 59664 65766 68288 79552 87688 102432 119328 120571 131532 175376 204864 238656 241142 263064 350752 361713 482284 526128 701504 723426 964568 1052256 1446852 1929136 2104512 2893704 3858272 5787408 7716544 11574816 23149632