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232133020 = 22572372091
BaseRepresentation
bin11011101011000…
…01000110011100
3121011210120122021
431311201012130
5433411224040
635011225524
75516045440
oct1565410634
9534716567
10232133020
1110a03aa79
12658a82a4
1339128122
1422b88820
15155a524a
hexdd6119c

232133020 has 48 divisors (see below), whose sum is σ = 581349888. Its totient is φ = 76127040.

The previous prime is 232132987. The next prime is 232133029. The reversal of 232133020 is 20331232.

232133020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232132985 and 232133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232133029) 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, 32826 + ... + 39265.

It is an arithmetic number, because the mean of its divisors is an integer number (12111456).

Almost surely, 2232133020 is an apocalyptic number.

232133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232133020 is an abundant number, since it is smaller than the sum of its proper divisors (349216868).

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

232133020 is a wasteful number, since it uses less digits than its factorization.

232133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72130 (or 72128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 232133020 is about 15235.9121814219. The cubic root of 232133020 is about 614.5807793619.

Adding to 232133020 its reverse (20331232), we get a palindrome (252464252).

The spelling of 232133020 in words is "two hundred thirty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 72091 144182 288364 360455 504637 720910 1009274 1441820 1658093 2018548 2523185 3316186 5046370 6632372 8290465 10092740 11606651 16580930 23213302 33161860 46426604 58033255 116066510 232133020