Search a number
-
+
231475968 = 2835612
BaseRepresentation
bin11011100110000…
…00101100000000
3121010120012100000
431303000230000
5433224212333
634545200000
75510341023
oct1563005400
9533505300
10231475968
11109731359
1265630000
1338c58039
1422a571ba
15154c5713
hexdcc0b00

231475968 has 162 divisors, whose sum is σ = 703653132. Its totient is φ = 75893760.

The previous prime is 231475957. The next prime is 231475969. The reversal of 231475968 is 869574132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-2 number, since 2×2314759682 = 107162247523074048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (231475969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3794658 + ... + 3794718.

Almost surely, 2231475968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351826566).

231475968 is an abundant number, since it is smaller than the sum of its proper divisors (472177164).

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

231475968 is an frugal number, since it uses more digits than its factorization.

231475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 66 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 231475968 is about 15214.3342936850. The cubic root of 231475968 is about 614.0003748932. Note that the first 3 decimals are identical.

The spelling of 231475968 in words is "two hundred thirty-one million, four hundred seventy-five thousand, nine hundred sixty-eight".