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233132020 = 225115931787
BaseRepresentation
bin11011110010101…
…00111111110100
3121020200100000021
431321110333310
5434140211040
635044454524
75530406122
oct1571247764
9536610007
10233132020
1110a6625a0
12660aa444
13393b7a54
1422d68912
151570124a
hexde54ff4

233132020 has 48 divisors (see below), whose sum is σ = 535284288. Its totient is φ = 84584960.

The previous prime is 233132017. The next prime is 233132021. The reversal of 233132020 is 20231332.

It is a junction number, because it is equal to n+sod(n) for n = 233131985 and 233132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233132021) 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, 129567 + ... + 131353.

It is an arithmetic number, because the mean of its divisors is an integer number (11151756).

Almost surely, 2233132020 is an apocalyptic number.

233132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233132020 is an abundant number, since it is smaller than the sum of its proper divisors (302152268).

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

233132020 is a wasteful number, since it uses less digits than its factorization.

233132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2398 counting only the distinct ones).

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

The square root of 233132020 is about 15268.6613689609. The cubic root of 233132020 is about 615.4611475090.

Adding to 233132020 its reverse (20231332), we get a palindrome (253363352).

The spelling of 233132020 in words is "two hundred thirty-three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 593 1186 1787 2372 2965 3574 5930 6523 7148 8935 11860 13046 17870 19657 26092 32615 35740 39314 65230 78628 98285 130460 196570 393140 1059691 2119382 4238764 5298455 10596910 11656601 21193820 23313202 46626404 58283005 116566010 233132020