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2265256224210 = 2357174177320021
BaseRepresentation
bin100000111101101011110…
…010101110010111010010
322000120000121020012022110
4200331223302232113102
5244103221043133320
64452351102250150
7322442106131430
oct40755362562722
98016017205273
102265256224210
117a37650a10a1
12307031886956
131357c7280a65
147b8d3541d50
153ddd036e5e0
hex20f6bcae5d2

2265256224210 has 256 divisors, whose sum is σ = 6748273824768. Its totient is φ = 474791116800.

The previous prime is 2265256224167. The next prime is 2265256224221. The reversal of 2265256224210 is 124226525622.

It is a super-2 number, since 2×22652562242102 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113134000 + ... + 113154020.

It is an arithmetic number, because the mean of its divisors is an integer number (26360444628).

Almost surely, 22265256224210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265256224210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374136912384).

2265256224210 is an abundant number, since it is smaller than the sum of its proper divisors (4483017600558).

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

2265256224210 is a wasteful number, since it uses less digits than its factorization.

2265256224210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20869.

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 2265256224210 in words is "two trillion, two hundred sixty-five billion, two hundred fifty-six million, two hundred twenty-four thousand, two hundred ten".