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2265382230240 = 253543472335253
BaseRepresentation
bin100000111101110011010…
…011011001100011100000
322000120100101022222002110
4200331303103121203200
5244104000322331430
64452411403115320
7322445166146103
oct40756323314340
98016311288073
102265382230240
117a381a235308
12307067b12b40
131358173cb63c
147b90618273a
153dddb45e7b0
hex20f734d98e0

2265382230240 has 192 divisors, whose sum is σ = 7457269349376. Its totient is φ = 577498478592.

The previous prime is 2265382230203. The next prime is 2265382230263. The reversal of 2265382230240 is 420322835622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197547 + ... + 2137706.

It is an arithmetic number, because the mean of its divisors is an integer number (38839944528).

Almost surely, 22265382230240 is an apocalyptic number.

2265382230240 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 2265382230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728634674688).

2265382230240 is an abundant number, since it is smaller than the sum of its proper divisors (5191887119136).

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

2265382230240 is a wasteful number, since it uses less digits than its factorization.

2265382230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335361 (or 2335353 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 2265382230240 in words is "two trillion, two hundred sixty-five billion, three hundred eighty-two million, two hundred thirty thousand, two hundred forty".