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231522048000 = 21132531723257
BaseRepresentation
bin1101011110011111001…
…0100001100000000000
3211010121011120122012200
43113213302201200000
512243124121014000
6254205412553200
722504221636405
oct3274762414000
9733534518180
10231522048000
118a208184441
1238a54322800
1318aa8b25b99
14b2c472c2ac
156050a00500
hex35e7ca1800

231522048000 has 1152 divisors, whose sum is σ = 925604184960. Its totient is φ = 55364812800.

The previous prime is 231522047971. The next prime is 231522048029. The reversal of 231522048000 is 840225132.

It is an interprime number because it is at equal distance from previous prime (231522047971) and next prime (231522048029).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2315220480002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 900863872 + ... + 900864128.

It is an arithmetic number, because the mean of its divisors is an integer number (803475855).

Almost surely, 2231522048000 is an apocalyptic number.

231522048000 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 231522048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462802092480).

231522048000 is an abundant number, since it is smaller than the sum of its proper divisors (694082136960).

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

231522048000 is a wasteful number, since it uses less digits than its factorization.

231522048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 231522048000 in words is "two hundred thirty-one billion, five hundred twenty-two million, forty-eight thousand".