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231092797824 = 273573133391
BaseRepresentation
bin1101011100111000110…
…1000100000110000000
3211002111020212110200000
43113032031010012000
512241234224012244
6254055040400000
722460460241230
oct3271615040600
9732436773600
10231092797824
118a007950429
1238954616000
1318a3ac129b5
14b283711cc0
156027eb0169
hex35ce344180

231092797824 has 384 divisors, whose sum is σ = 790891745280. Its totient is φ = 65796157440.

The previous prime is 231092797807. The next prime is 231092797853. The reversal of 231092797824 is 428797290132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2310927978242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68147169 + ... + 68150559.

It is an arithmetic number, because the mean of its divisors is an integer number (2059613920).

Almost surely, 2231092797824 is an apocalyptic number.

231092797824 is a gapful number since it is divisible by the number (24) 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 231092797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395445872640).

231092797824 is an abundant number, since it is smaller than the sum of its proper divisors (559798947456).

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

231092797824 is an equidigital number, since it uses as much as digits as its factorization.

231092797824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 231092797824 in words is "two hundred thirty-one billion, ninety-two million, seven hundred ninety-seven thousand, eight hundred twenty-four".