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232840560 = 24351079067
BaseRepresentation
bin11011110000011…
…01110101110000
3121020010112012110
431320031311300
5434101344220
635034325320
75525053311
oct1570156560
9536115173
10232840560
1110a483617
1265b89840
13393151a4
1422cd0608
1515694be0
hexde0dd70

232840560 has 80 divisors (see below), whose sum is σ = 728631936. Its totient is φ = 61503744.

The previous prime is 232840549. The next prime is 232840561. The reversal of 232840560 is 65048232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2328405602 = 108429452762227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232840561) 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, 21147 + ... + 30213.

Almost surely, 2232840560 is an apocalyptic number.

232840560 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 232840560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364315968).

232840560 is an abundant number, since it is smaller than the sum of its proper divisors (495791376).

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

232840560 is a wasteful number, since it uses less digits than its factorization.

232840560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 232840560 is about 15259.1139978703. The cubic root of 232840560 is about 615.2045588285.

Adding to 232840560 its reverse (65048232), we get a palindrome (297888792).

The spelling of 232840560 in words is "two hundred thirty-two million, eight hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 9067 12840 18134 25680 27201 36268 45335 54402 72536 90670 108804 136005 145072 181340 217608 272010 362680 435216 544020 725360 970169 1088040 1940338 2176080 2910507 3880676 4850845 5821014 7761352 9701690 11642028 14552535 15522704 19403380 23284056 29105070 38806760 46568112 58210140 77613520 116420280 232840560