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232133120 = 29590677
BaseRepresentation
bin11011101011000…
…01001000000000
3121011210120202222
431311201020000
5433411224440
635011230212
75516045642
oct1565411000
9534716688
10232133120
1110a04005a
12658a8368
133912819b
1422b88892
15155a52b5
hexdd61200

232133120 has 40 divisors (see below), whose sum is σ = 556581564. Its totient is φ = 92852224.

The previous prime is 232133119. The next prime is 232133129. The reversal of 232133120 is 21331232.

It can be written as a sum of positive squares in 2 ways, for example, as 196897024 + 35236096 = 14032^2 + 5936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (232133129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42779 + ... + 47898.

Almost surely, 2232133120 is an apocalyptic number.

232133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232133120 is an abundant number, since it is smaller than the sum of its proper divisors (324448444).

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

232133120 is an frugal number, since it uses more digits than its factorization.

232133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90700 (or 90684 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 232133120 is about 15235.9154631417. The cubic root of 232133120 is about 614.5808676131.

Adding to 232133120 its reverse (21331232), we get a palindrome (253464352).

The spelling of 232133120 in words is "two hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 90677 181354 362708 453385 725416 906770 1450832 1813540 2901664 3627080 5803328 7254160 11606656 14508320 23213312 29016640 46426624 58033280 116066560 232133120