Search a number
-
+
230935219872 = 25371731986437
BaseRepresentation
bin1101011100010011001…
…1111100111010100000
3211002002021100200100120
43113010303330322200
512240423404013442
6254031251120240
722453534660260
oct3270463747240
9732067320316
10230935219872
1189a36a02815
123890b8a3080
1318a1438c7c6
14b26a8137a0
1560192354ec
hex35c4cfcea0

230935219872 has 96 divisors (see below), whose sum is σ = 696810667392. Its totient is φ = 65600062464.

The previous prime is 230935219841. The next prime is 230935219877. The reversal of 230935219872 is 278912539032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (230935219877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876963 + ... + 1109474.

It is an arithmetic number, because the mean of its divisors is an integer number (7258444452).

Almost surely, 2230935219872 is an apocalyptic number.

It is an amenable number.

230935219872 is an abundant number, since it is smaller than the sum of its proper divisors (465875447520).

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

230935219872 is a wasteful number, since it uses less digits than its factorization.

230935219872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986630 (or 1986622 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 230935219872 in words is "two hundred thirty billion, nine hundred thirty-five million, two hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 14532 16608 19376 29064 38752 58128 116256 1986437 3972874 5959311 7945748 11918622 13905059 15891496 23837244 27810118 31782992 41715177 47674488 55620236 63565984 83430354 95348976 111240472 166860708 190697952 222480944 333721416 343653601 444961888 667442832 687307202 1030960803 1334885664 1374614404 2061921606 2405575207 2749228808 4123843212 4811150414 5498457616 7216725621 8247686424 9622300828 10996915232 14433451242 16495372848 19244601656 28866902484 32990745696 38489203312 57733804968 76978406624 115467609936 230935219872