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11225252025 = 3352136167313
BaseRepresentation
bin10100111010001001…
…11100000010111001
31001222022021212221000
422131010330002321
5140442131031100
65053512035213
7545113032201
oct123504740271
931868255830
1011225252025
1148403a8a99
122213392b09
13109b7b3780
14786b87401
1545a735900
hex29d13c0b9

11225252025 has 192 divisors, whose sum is σ = 22981584640. Its totient is φ = 5337446400.

The previous prime is 11225251991. The next prime is 11225252029. The reversal of 11225252025 is 52025252211.

It is a happy number.

11225252025 is a `hidden beast` number, since 112 + 2 + 5 + 2 + 520 + 25 = 666.

It is not a de Polignac number, because 11225252025 - 28 = 11225251769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11225252025.

It is not an unprimeable number, because it can be changed into a prime (11225252029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35863269 + ... + 35863581.

Almost surely, 211225252025 is an apocalyptic number.

11225252025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11225252025 is an abundant number, since it is smaller than the sum of its proper divisors (11756332615).

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

11225252025 is a wasteful number, since it uses less digits than its factorization.

11225252025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 11225252025 in words is "eleven billion, two hundred twenty-five million, two hundred fifty-two thousand, twenty-five".