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232145545099200 = 263523722922032591
BaseRepresentation
bin110100110010001010011000…
…110000000111011111000000
31010102221220020011221202212020
4310302022120300013133000
5220411433034021133300
62141422105142201440
766616651006316265
oct6462123060073700
91112856204852766
10232145545099200
1167a72411206437
1222053441423280
139c6c300598965
144147c936c526c
151bc89897948a0
hexd32298c077c0

232145545099200 has 672 divisors, whose sum is σ = 786291219855360. Its totient is φ = 59918977843200.

The previous prime is 232145545099147. The next prime is 232145545099217. The reversal of 232145545099200 is 2990545541232.

It is a happy number.

It is a super-2 number, since 2×2321455450992002 (a number of 30 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, 89596889905 + ... + 89596892495.

Almost surely, 2232145545099200 is an apocalyptic number.

232145545099200 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 232145545099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393145609927680).

232145545099200 is an abundant number, since it is smaller than the sum of its proper divisors (554145674756160).

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

232145545099200 is a wasteful number, since it uses less digits than its factorization.

232145545099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 232145545099200 in words is "two hundred thirty-two trillion, one hundred forty-five billion, five hundred forty-five million, ninety-nine thousand, two hundred".