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225652275640 = 235112194197617
BaseRepresentation
bin1101001000100111101…
…1000111100110111000
3210120110002120022021101
43102021323013212320
512144113440310030
6251355131221144
722205605460431
oct3221173074670
9716402508241
10225652275640
1187775910600
12378965a77b4
1318381a253bc
14acc8d3c488
155d0a53d7ca
hex3489ec79b8

225652275640 has 384 divisors, whose sum is σ = 608958907200. Its totient is φ = 74937139200.

The previous prime is 225652275631. The next prime is 225652275691. The reversal of 225652275640 is 46572256522.

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, 365724612 + ... + 365725228.

Almost surely, 2225652275640 is an apocalyptic number.

225652275640 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 225652275640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304479453600).

225652275640 is an abundant number, since it is smaller than the sum of its proper divisors (383306631560).

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

225652275640 is a wasteful number, since it uses less digits than its factorization.

225652275640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 225652275640 in words is "two hundred twenty-five billion, six hundred fifty-two million, two hundred seventy-five thousand, six hundred forty".