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234622135680 = 27351076591733
BaseRepresentation
bin1101101010000010010…
…0011010110110000000
3211102121012221102000220
43122200210122312000
512321001231320210
6255441154343040
722644104151042
oct3324044326600
9742535842026
10234622135680
1190559096179
123957a58aa80
1319181181aaa
14b4da349a92
156182c64c70
hex36a091ad80

234622135680 has 256 divisors, whose sum is σ = 756429062400. Its totient is φ = 61851410432.

The previous prime is 234622135673. The next prime is 234622135681. The reversal of 234622135680 is 86531226432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234622135681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135384094 + ... + 135385826.

It is an arithmetic number, because the mean of its divisors is an integer number (2954801025).

Almost surely, 2234622135680 is an apocalyptic number.

234622135680 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 234622135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378214531200).

234622135680 is an abundant number, since it is smaller than the sum of its proper divisors (521806926720).

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

234622135680 is a wasteful number, since it uses less digits than its factorization.

234622135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 234622135680 in words is "two hundred thirty-four billion, six hundred twenty-two million, one hundred thirty-five thousand, six hundred eighty".