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231221232000 = 27325311612393
BaseRepresentation
bin1101011101010111011…
…1000000000110000000
3211002211012112121020100
43113111313000012000
512242020113411000
6254115505242400
722463610021003
oct3272567000600
9732735477210
10231221232000
118a0733a2980
123898b633400
1318a5b700855
14b2967c553a
1560343cea00
hex35d5dc0180

231221232000 has 768 divisors, whose sum is σ = 921096671040. Its totient is φ = 55111680000.

The previous prime is 231221231993. The next prime is 231221232017. The reversal of 231221232000 is 232122132.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 96622804 + ... + 96625196.

Almost surely, 2231221232000 is an apocalyptic number.

231221232000 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 231221232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460548335520).

231221232000 is an abundant number, since it is smaller than the sum of its proper divisors (689875439040).

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

231221232000 is a wasteful number, since it uses less digits than its factorization.

231221232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 231221232000 its reverse (232122132), we get a palindrome (231453354132).

The spelling of 231221232000 in words is "two hundred thirty-one billion, two hundred twenty-one million, two hundred thirty-two thousand".