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389200224 = 25374313469
BaseRepresentation
bin10111001100101…
…011100101100000
31000010100102100010
4113030223211200
51244113401344
6102341524520
712434101350
oct2714534540
91003312303
10389200224
1118a769986
12aa413740
136282c9ba
1439992b60
152427d8b9
hex1732b960

389200224 has 96 divisors (see below), whose sum is σ = 1194842880. Its totient is φ = 108605952.

The previous prime is 389200183. The next prime is 389200241. The reversal of 389200224 is 422002983.

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

It is a junction number, because it is equal to n+sod(n) for n = 389200191 and 389200200.

It is a congruent number.

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, 22162 + ... + 35630.

It is an arithmetic number, because the mean of its divisors is an integer number (12446280).

Almost surely, 2389200224 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 389200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597421440).

389200224 is an abundant number, since it is smaller than the sum of its proper divisors (805642656).

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

389200224 is a wasteful number, since it uses less digits than its factorization.

389200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13532 (or 13524 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 389200224 is about 19728.1581502177. The cubic root of 389200224 is about 730.1145901306.

The spelling of 389200224 in words is "three hundred eighty-nine million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 13469 14448 26938 28896 40407 53876 80814 94283 107752 161628 188566 215504 282849 323256 377132 431008 565698 579167 646512 754264 1131396 1158334 1293024 1508528 1737501 2262792 2316668 3017056 3475002 4054169 4525584 4633336 6950004 8108338 9051168 9266672 12162507 13900008 16216676 18533344 24325014 27800016 32433352 48650028 55600032 64866704 97300056 129733408 194600112 389200224