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231433020 = 2232571371199
BaseRepresentation
bin11011100101101…
…10001100111100
3121010111000102100
431302312030330
5433221324040
634544225100
75510101560
oct1562661474
9533430370
10231433020
11109702065
126560b190
1338c41620
1422a456a0
15154b7b30
hexdcb633c

231433020 has 288 divisors, whose sum is σ = 880588800. Its totient is φ = 47900160.

The previous prime is 231433003. The next prime is 231433031. The reversal of 231433020 is 20334132.

231433020 is a `hidden beast` number, since 2 + 314 + 330 + 20 = 666.

It is a super-2 number, since 2×2314330202 = 107122485492640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231432984 and 231433002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1162881 + ... + 1163079.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2231433020 is an apocalyptic number.

231433020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

231433020 is an abundant number, since it is smaller than the sum of its proper divisors (649155780).

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

231433020 is a wasteful number, since it uses less digits than its factorization.

231433020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 231433020 is about 15212.9227960967. The cubic root of 231433020 is about 613.9623987131.

Adding to 231433020 its reverse (20334132), we get a palindrome (251767152).

The spelling of 231433020 in words is "two hundred thirty-one million, four hundred thirty-three thousand, twenty".