Search a number
-
+
230702317560 = 2334511131973359
BaseRepresentation
bin1101011011011011101…
…1011111111111111000
3211001111001010000110000
43112312323133333320
512234434243130220
6253552211153000
722445006225631
oct3266673377770
9731431100400
10230702317560
1189927497870
12388658a5760
13189a80554a0
14b247908888
156003a7c390
hex35b6edfff8

230702317560 has 1280 divisors, whose sum is σ = 974768256000. Its totient is φ = 48104202240.

The previous prime is 230702317543. The next prime is 230702317583. The reversal of 230702317560 is 65713207032.

230702317560 is a `hidden beast` number, since 2 + 3 + 0 + 70 + 23 + 1 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 642624661 + ... + 642625019.

It is an arithmetic number, because the mean of its divisors is an integer number (761537700).

Almost surely, 2230702317560 is an apocalyptic number.

230702317560 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 230702317560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487384128000).

230702317560 is an abundant number, since it is smaller than the sum of its proper divisors (744065938440).

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

230702317560 is a wasteful number, since it uses less digits than its factorization.

230702317560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 230702317560 in words is "two hundred thirty billion, seven hundred two million, three hundred seventeen thousand, five hundred sixty".