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23000032 = 2511192181
BaseRepresentation
bin101011110111…
…1001111100000
31121021112010001
41113233033200
521342000112
62140545344
7366332326
oct127571740
947245101
1023000032
1111a8a2a0
127852254
1349c3ab3
1430a9d16
152044c57
hex15ef3e0

23000032 has 72 divisors (see below), whose sum is σ = 52422552. Its totient is φ = 9849600.

The previous prime is 23000027. The next prime is 23000059.

23000032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22999982 and 23000018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126982 + ... + 127162.

It is an arithmetic number, because the mean of its divisors is an integer number (728091).

Almost surely, 223000032 is an apocalyptic number.

23000032 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 23000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211276).

23000032 is an abundant number, since it is smaller than the sum of its proper divisors (29422520).

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

23000032 is a wasteful number, since it uses less digits than its factorization.

23000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 23000032 is about 4795.8348595422. The cubic root of 23000032 is about 284.3868298746.

It can be divided in two parts, 230000 and 32, that added together give a palindrome (230032).

The spelling of 23000032 in words is "twenty-three million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 181 209 304 352 361 362 418 608 722 724 836 1444 1448 1672 1991 2888 2896 3344 3439 3971 3982 5776 5792 6688 6878 7942 7964 11552 13756 15884 15928 27512 31768 31856 37829 55024 63536 63712 65341 75658 110048 127072 130682 151316 261364 302632 522728 605264 718751 1045456 1210528 1437502 2090912 2875004 5750008 11500016 23000032