Search a number
-
+
23223100432 = 2473122932917
BaseRepresentation
bin10101101000001101…
…000110010000010000
32012221110100201211211
4111220031012100100
5340030103203212
614400223345504
71451330045110
oct255015062020
965843321754
1023223100432
119937920094
124601452294
132261373b5c
1411a43a5040
1590dbcd9a7
hex568346410

23223100432 has 80 divisors (see below), whose sum is σ = 53122726912. Its totient is φ = 9624199680.

The previous prime is 23223100363. The next prime is 23223100469. The reversal of 23223100432 is 23400132232.

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, 7959838 + ... + 7962754.

Almost surely, 223223100432 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 23223100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26561363456).

23223100432 is an abundant number, since it is smaller than the sum of its proper divisors (29899626480).

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

23223100432 is a wasteful number, since it uses less digits than its factorization.

23223100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23223100432 its reverse (23400132232), we get a palindrome (46623232664).

The spelling of 23223100432 in words is "twenty-three billion, two hundred twenty-three million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 2293 2917 3472 4586 5834 9172 11668 16051 18344 20419 23336 32102 36688 40838 46672 64204 71083 81676 90427 128408 142166 163352 180854 256816 284332 326704 361708 497581 568664 632989 723416 995162 1137328 1265978 1446832 1990324 2531956 3980648 5063912 6688681 7961296 10127824 13377362 26754724 46820767 53509448 93641534 107018896 187283068 207349111 374566136 414698222 749132272 829396444 1451443777 1658792888 2902887554 3317585776 5805775108 11611550216 23223100432