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230156784 = 2432111311177
BaseRepresentation
bin11011011011111…
…10100111110000
3121001002011202100
431231332213300
5432410004114
634501020400
75463205014
oct1555764760
9531064670
10230156784
11108a10220
12650b4700
13388b5760
14227d2544
1515314909
hexdb7e9f0

230156784 has 120 divisors (see below), whose sum is σ = 756795312. Its totient is φ = 64373760.

The previous prime is 230156779. The next prime is 230156813. The reversal of 230156784 is 487651032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 15004 + ... + 26180.

Almost surely, 2230156784 is an apocalyptic number.

230156784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230156784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378397656).

230156784 is an abundant number, since it is smaller than the sum of its proper divisors (526638528).

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

230156784 is a wasteful number, since it uses less digits than its factorization.

230156784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11215 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 230156784 is about 15170.9190229201. The cubic root of 230156784 is about 612.8317538600.

The spelling of 230156784 in words is "two hundred thirty million, one hundred fifty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 11177 20592 22354 33531 44708 67062 89416 100593 122947 134124 145301 178832 201186 245894 268248 290602 368841 402372 435903 491788 536496 581204 737682 804744 871806 983576 1106523 1162408 1307709 1475364 1598311 1609488 1743612 1967152 2213046 2324816 2615418 2950728 3196622 3487224 4426092 4794933 5230836 5901456 6393244 6974448 8852184 9589866 10461672 12786488 14384799 17704368 19179732 20923344 25572976 28769598 38359464 57539196 76718928 115078392 230156784