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2265197682540 = 22351319592590633
BaseRepresentation
bin100000111101101000010…
…011011001111101101100
322000112212112001222020110
4200331220103121331230
5244103111101320130
64452341211420020
7322440465420132
oct40755023317554
98015775058213
102265197682540
117a3735046951
12307016154610
131357b80c4810
147b8c9863752
153ddca158ab0
hex20f684d9f6c

2265197682540 has 192 divisors, whose sum is σ = 7311805401600. Its totient is φ = 519287003136.

The previous prime is 2265197682533. The next prime is 2265197682541. The reversal of 2265197682540 is 452867915622.

It is a super-2 number, since 2×22651976825402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2265197682541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420937 + ... + 2169696.

It is an arithmetic number, because the mean of its divisors is an integer number (38082319800).

Almost surely, 22265197682540 is an apocalyptic number.

2265197682540 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 2265197682540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655902700800).

2265197682540 is an abundant number, since it is smaller than the sum of its proper divisors (5046607719060).

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

2265197682540 is a wasteful number, since it uses less digits than its factorization.

2265197682540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590736 (or 2590734 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 2265197682540 in words is "two trillion, two hundred sixty-five billion, one hundred ninety-seven million, six hundred eighty-two thousand, five hundred forty".