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2255165280 = 253352947383
BaseRepresentation
bin1000011001101011…
…0001011101100000
312211011111021012000
42012122301131200
514104310242110
61011440004000
7106612405614
oct20632613540
95734437160
102255165280
11a57a89065
1252b300600
1329c2a7b34
1417571b344
15d2eb71c0
hex866b1760

2255165280 has 384 divisors, whose sum is σ = 8360755200. Its totient is φ = 566802432.

The previous prime is 2255165279. The next prime is 2255165291. The reversal of 2255165280 is 825615522.

It is a happy number.

2255165280 is a `hidden beast` number, since 22 + 551 + 6 + 5 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5887969 + ... + 5888351.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 22255165280 is an apocalyptic number.

2255165280 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 2255165280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180377600).

2255165280 is an abundant number, since it is smaller than the sum of its proper divisors (6105589920).

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

2255165280 is a wasteful number, since it uses less digits than its factorization.

2255165280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2255165280 is about 47488.5805220581. The cubic root of 2255165280 is about 1311.3726613660.

The spelling of 2255165280 in words is "two billion, two hundred fifty-five million, one hundred sixty-five thousand, two hundred eighty".