Search a number
-
+
231842096640 = 293357411127
BaseRepresentation
bin1101011111101011011…
…1011010011000000000
3211011102110210210102000
43113322313122120000
512244303034043030
6254301244424000
722515156210000
oct3277267323000
9734373723360
10231842096640
118a361901750
1238b23548000
1318b2a22328b
14b315040000
15606db6e860
hex35fadda600

231842096640 has 1600 divisors, whose sum is σ = 1056309534720. Its totient is φ = 47795650560.

The previous prime is 231842096639. The next prime is 231842096671. The reversal of 231842096640 is 46690248132.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1825528257 + ... + 1825528383.

Almost surely, 2231842096640 is an apocalyptic number.

231842096640 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 231842096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528154767360).

231842096640 is an abundant number, since it is smaller than the sum of its proper divisors (824467438080).

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

231842096640 is an equidigital number, since it uses as much as digits as its factorization.

231842096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 231842096640 in words is "two hundred thirty-one billion, eight hundred forty-two million, ninety-six thousand, six hundred forty".