Search a number
-
+
232343520 = 2535539133
BaseRepresentation
bin11011101100101…
…00011111100000
3121012012021101120
431312110133200
5433434443040
635015532240
75520613233
oct1566243740
9535167346
10232343520
1110a174142
126598a080
133919cb96
1422c0141a
15155e77d0
hexdd947e0

232343520 has 96 divisors (see below), whose sum is σ = 745772832. Its totient is φ = 60782592.

The previous prime is 232343509. The next prime is 232343537. The reversal of 232343520 is 25343232.

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

It is a super-2 number, since 2×2323435202 = 107967022571980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 20874 + ... + 30006.

It is an arithmetic number, because the mean of its divisors is an integer number (7768467).

Almost surely, 2232343520 is an apocalyptic number.

232343520 is a gapful number since it is divisible by the number (20) 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 232343520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372886416).

232343520 is an abundant number, since it is smaller than the sum of its proper divisors (513429312).

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

232343520 is a wasteful number, since it uses less digits than its factorization.

232343520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 232343520 is about 15242.8186369844. The cubic root of 232343520 is about 614.7664920901.

Adding to 232343520 its reverse (25343232), we get a palindrome (257686752).

The spelling of 232343520 in words is "two hundred thirty-two million, three hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 9133 12720 18266 25440 27399 36532 45665 54798 73064 91330 109596 136995 146128 182660 219192 273990 292256 365320 438384 484049 547980 730640 876768 968098 1095960 1452147 1461280 1936196 2191920 2420245 2904294 3872392 4383840 4840490 5808588 7260735 7744784 9680980 11617176 14521470 15489568 19361960 23234352 29042940 38723920 46468704 58085880 77447840 116171760 232343520