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11225603520 = 2632553251293
BaseRepresentation
bin10100111010001100…
…10001110111000000
31001222022221202002100
422131012101313000
5140442223303040
65053523350400
7545116025025
oct123506216700
931868852070
1011225603520
11484061908a
122213522400
13109b8a7761
14786c3954c
1545a7a4b30
hex29d191dc0

11225603520 has 336 divisors, whose sum is σ = 39631449312. Its totient is φ = 2915328000.

The previous prime is 11225603509. The next prime is 11225603549. The reversal of 11225603520 is 2530652211.

It is a happy number.

11225603520 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 5 + 603 + 52 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38312494 + ... + 38312786.

It is an arithmetic number, because the mean of its divisors is an integer number (117950742).

Almost surely, 211225603520 is an apocalyptic number.

11225603520 is a gapful number since it is divisible by the number (10) 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 11225603520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815724656).

11225603520 is an abundant number, since it is smaller than the sum of its proper divisors (28405845792).

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

11225603520 is a wasteful number, since it uses less digits than its factorization.

11225603520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11225603520 in words is "eleven billion, two hundred twenty-five million, six hundred three thousand, five hundred twenty".