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231001680 = 243572131511
BaseRepresentation
bin11011100010011…
…00111001010000
3121002200002201210
431301030321100
5433114023210
634531100120
75503324200
oct1561147120
9532602653
10231001680
11109437a88
1265441640
1338b201b0
1422972400
151542ee20
hexdc4ce50

231001680 has 240 divisors, whose sum is σ = 897692544. Its totient is φ = 48706560.

The previous prime is 231001669. The next prime is 231001681. The reversal of 231001680 is 86100132.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231001681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152125 + ... + 153635.

Almost surely, 2231001680 is an apocalyptic number.

231001680 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 231001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448846272).

231001680 is an abundant number, since it is smaller than the sum of its proper divisors (666690864).

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

231001680 is a wasteful number, since it uses less digits than its factorization.

231001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 231001680 is about 15198.7394214126. The cubic root of 231001680 is about 613.5807314274.

The spelling of 231001680 in words is "two hundred thirty-one million, one thousand, six hundred eighty".