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232421000224 = 25764110331567
BaseRepresentation
bin1101100001110101011…
…1110000010000100000
3211012220211010010211111
43120131113300100200
512301444234001344
6254434524353104
722535415622360
oct3303527602040
9735824103744
10232421000224
118a629660566
12390653a5794
1318bc014368a
14b36bc949a0
1560a48c1834
hex361d5f0420

232421000224 has 96 divisors (see below), whose sum is σ = 524604681216. Its totient is φ = 99293921280.

The previous prime is 232421000153. The next prime is 232421000297. The reversal of 232421000224 is 422000124232.

It is a junction number, because it is equal to n+sod(n) for n = 232421000195 and 232421000204.

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, 148321489 + ... + 148323055.

It is an arithmetic number, because the mean of its divisors is an integer number (5464632096).

Almost surely, 2232421000224 is an apocalyptic number.

It is an amenable number.

232421000224 is an abundant number, since it is smaller than the sum of its proper divisors (292183680992).

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

232421000224 is a wasteful number, since it uses less digits than its factorization.

232421000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 232421000224 its reverse (422000124232), we get a palindrome (654421124456).

The spelling of 232421000224 in words is "two hundred thirty-two billion, four hundred twenty-one million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 641 1033 1282 1567 2066 2564 3134 4132 4487 5128 6268 7231 8264 8974 10256 10969 12536 14462 16528 17948 20512 21938 25072 28924 33056 35896 43876 50144 57848 71792 87752 115696 143584 175504 231392 351008 662153 1004447 1324306 1618711 2008894 2648612 3237422 4017788 4635071 5297224 6474844 7031129 8035576 9270142 10594448 11330977 12949688 14062258 16071152 18540284 21188896 22661954 25899376 28124516 32142304 37080568 45323908 51798752 56249032 74161136 90647816 112498064 148322272 181295632 224996128 362591264 1037593751 2075187502 4150375004 7263156257 8300750008 14526312514 16601500016 29052625028 33203000032 58105250056 116210500112 232421000224