Search a number
-
+
232112132320 = 25523411538389
BaseRepresentation
bin1101100000101011110…
…1100001000011100000
3211012010021221000201111
43120022331201003200
512300331201213240
6254344132313104
722524645400015
oct3301275410340
9735107830644
10232112132320
118a49027a532
1238b99a72794
1318b7115c3c3
14b33cc5370c
1560877101ea
hex360af610e0

232112132320 has 96 divisors (see below), whose sum is σ = 586163511360. Its totient is φ = 86642012160.

The previous prime is 232112132249. The next prime is 232112132327. The reversal of 232112132320 is 23231211232.

It is a junction number, because it is equal to n+sod(n) for n = 232112132291 and 232112132300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232112132327) 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, 618315 + ... + 920074.

It is an arithmetic number, because the mean of its divisors is an integer number (6105869910).

Almost surely, 2232112132320 is an apocalyptic number.

232112132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232112132320 is an abundant number, since it is smaller than the sum of its proper divisors (354051379040).

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

232112132320 is a wasteful number, since it uses less digits than its factorization.

232112132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538468 (or 1538460 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 232112132320 its reverse (23231211232), we get a palindrome (255343343552).

The spelling of 232112132320 in words is "two hundred thirty-two billion, one hundred twelve million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 80 82 92 115 160 164 184 205 230 328 368 410 460 656 736 820 920 943 1312 1640 1840 1886 3280 3680 3772 4715 6560 7544 9430 15088 18860 30176 37720 75440 150880 1538389 3076778 6153556 7691945 12307112 15383890 24614224 30767780 35382947 49228448 61535560 63073949 70765894 123071120 126147898 141531788 176914735 246142240 252295796 283063576 315369745 353829470 504591592 566127152 630739490 707658940 1009183184 1132254304 1261478980 1415317880 1450700827 2018366368 2522957960 2830635760 2901401654 5045915920 5661271520 5802803308 7253504135 10091831840 11605606616 14507008270 23211213232 29014016540 46422426464 58028033080 116056066160 232112132320