Search a number
-
+
232323333132 = 223112376522837
BaseRepresentation
bin1101100001011110001…
…1001011110000001100
3211012200000100010202210
43120113203023300030
512301244233130012
6254421115150420
722533121514562
oct3302743136014
9735600303683
10232323333132
118a589512860
1239038745410
1318ba5b389b7
14b35cd0da32
15609b02d23c
hex36178cbc0c

232323333132 has 48 divisors (see below), whose sum is σ = 617080165632. Its totient is φ = 67340095680.

The previous prime is 232323333113. The next prime is 232323333199. The reversal of 232323333132 is 231333323232.

It is a super-3 number, since 3×2323233331323 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232323333132.

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, 38258383 + ... + 38264454.

It is an arithmetic number, because the mean of its divisors is an integer number (12855836784).

Almost surely, 2232323333132 is an apocalyptic number.

232323333132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232323333132 is an abundant number, since it is smaller than the sum of its proper divisors (384756832500).

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

232323333132 is a wasteful number, since it uses less digits than its factorization.

232323333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76522878 (or 76522876 counting only the distinct ones).

The product of its digits is 34992, while the sum is 30.

Adding to 232323333132 its reverse (231333323232), we get a palindrome (463656656364).

The spelling of 232323333132 in words is "two hundred thirty-two billion, three hundred twenty-three million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 76522837 153045674 229568511 306091348 459137022 841751207 918274044 1683502414 1760025251 2525253621 3367004828 3520050502 5050507242 5280075753 7040101004 10101014484 10560151506 19360277761 21120303012 38720555522 58080833283 77441111044 116161666566 232323333132