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2243115204525 = 3252131922777669
BaseRepresentation
bin100000101001000100000…
…101011011111110101101
321221102212112222212012100
4200221010011123332231
5243222344443021100
64434250051325313
7321026325434556
oct40510405337655
97842775885170
102243115204525
11795333067318
123028928b0839
131336a9155590
147a7d2b7332d
153d536687400
hex20a4415bfad

2243115204525 has 216 divisors, whose sum is σ = 4583510360520. Its totient is φ = 1042268912640.

The previous prime is 2243115204497. The next prime is 2243115204541. The reversal of 2243115204525 is 5254025113422.

2243115204525 is a `hidden beast` number, since 2 + 2 + 431 + 15 + 204 + 5 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 779162820804 + 1463952383721 = 882702^2 + 1209939^2 .

It is not a de Polignac number, because 2243115204525 - 29 = 2243115204013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2243115204525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 292487391 + ... + 292495059.

Almost surely, 22243115204525 is an apocalyptic number.

2243115204525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2243115204525 is an abundant number, since it is smaller than the sum of its proper divisors (2340395155995).

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

2243115204525 is a wasteful number, since it uses less digits than its factorization.

2243115204525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8013 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2243115204525 in words is "two trillion, two hundred forty-three billion, one hundred fifteen million, two hundred four thousand, five hundred twenty-five".