Search a number
-
+
233531820 = 223251297399
BaseRepresentation
bin11011110101101…
…10100110101100
3121021102122102200
431322312212230
5434241004240
635101221500
75533662534
oct1572664654
9537378380
10233531820
1110a905a05
1266261890
13394c7a12
14230304c4
151577e930
hexdeb69ac

233531820 has 36 divisors (see below), whose sum is σ = 708380400. Its totient is φ = 62275104.

The previous prime is 233531819. The next prime is 233531843. The reversal of 233531820 is 28135332.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2335318202 = 109074221905024800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648520 + ... + 648879.

Almost surely, 2233531820 is an apocalyptic number.

233531820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233531820 is an abundant number, since it is smaller than the sum of its proper divisors (474848580).

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

233531820 is a wasteful number, since it uses less digits than its factorization.

233531820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297414 (or 1297409 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 233531820 is about 15281.7479366727. The cubic root of 233531820 is about 615.8127663658.

The spelling of 233531820 in words is "two hundred thirty-three million, five hundred thirty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1297399 2594798 3892197 5189596 6486995 7784394 11676591 12973990 15568788 19460985 23353182 25947980 38921970 46706364 58382955 77843940 116765910 233531820