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232068480 = 2735731557
BaseRepresentation
bin11011101010100…
…01010110000000
3121011200022002220
431311101112000
5433402142410
635010011040
75515356330
oct1565212600
9534608086
10232068480
11109aa6536
1265876a80
1339104937
1422b6d0c0
1515591070
hexdd51580

232068480 has 256 divisors, whose sum is σ = 874229760. Its totient is φ = 51240960.

The previous prime is 232068437. The next prime is 232068481. The reversal of 232068480 is 84860232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232068481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416362 + ... + 416918.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2232068480 is an apocalyptic number.

232068480 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 232068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880).

232068480 is an abundant number, since it is smaller than the sum of its proper divisors (642161280).

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

232068480 is a wasteful number, since it uses less digits than its factorization.

232068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 232068480 is about 15233.7940119985. The cubic root of 232068480 is about 614.5238167346.

The spelling of 232068480 in words is "two hundred thirty-two million, sixty-eight thousand, four hundred eighty".