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803225228 = 2213219232719
BaseRepresentation
bin101111111000000…
…011111010001100
32001222102001212112
4233320003322030
53121111201403
6211411523152
725622205341
oct5770037214
92058361775
10803225228
11382444003
121a4bb94b8
13ca541c00
14789687c8
154a7b29d8
hex2fe03e8c

803225228 has 72 divisors (see below), whose sum is σ = 1672473600. Its totient is φ = 335814336.

The previous prime is 803225183. The next prime is 803225237. The reversal of 803225228 is 822522308.

It is a junction number, because it is equal to n+sod(n) for n = 803225194 and 803225203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294053 + ... + 296771.

It is an arithmetic number, because the mean of its divisors is an integer number (23228800).

Almost surely, 2803225228 is an apocalyptic number.

It is an amenable number.

803225228 is an abundant number, since it is smaller than the sum of its proper divisors (869248372).

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

803225228 is a wasteful number, since it uses less digits than its factorization.

803225228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 803225228 is about 28341.2284137438. The cubic root of 803225228 is about 929.5636091895.

The spelling of 803225228 in words is "eight hundred three million, two hundred twenty-five thousand, two hundred twenty-eight".

Divisors: 1 2 4 13 19 23 26 38 46 52 76 92 169 247 299 338 437 494 598 676 874 988 1196 1748 2719 3211 3887 5438 5681 6422 7774 10876 11362 12844 15548 22724 35347 51661 62537 70694 73853 103322 125074 141388 147706 206644 250148 295412 459511 671593 812981 919022 1188203 1343186 1625962 1838044 2376406 2686372 3251924 4752812 8730709 10568753 15446639 17461418 21137506 30893278 34922836 42275012 61786556 200806307 401612614 803225228