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2255173368 = 2337233167281
BaseRepresentation
bin1000011001101011…
…0011011011111000
312211011111200021120
42012122303123320
514104311021433
61011440105240
7106612441320
oct20632633370
95734450246
102255173368
11a57a94148
1252b305220
1329c2ab716
14175720280
15d2eb97b3
hex866b36f8

2255173368 has 256 divisors, whose sum is σ = 7069040640. Its totient is φ = 585446400.

The previous prime is 2255173363. The next prime is 2255173379. The reversal of 2255173368 is 8633715522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255173363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8025388 + ... + 8025668.

It is an arithmetic number, because the mean of its divisors is an integer number (27613440).

Almost surely, 22255173368 is an apocalyptic number.

2255173368 is a gapful number since it is divisible by the number (28) 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 2255173368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534520320).

2255173368 is an abundant number, since it is smaller than the sum of its proper divisors (4813867272).

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

2255173368 is a wasteful number, since it uses less digits than its factorization.

2255173368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 2255173368 is about 47488.6656792966. The cubic root of 2255173368 is about 1311.3742290810.

The spelling of 2255173368 in words is "two billion, two hundred fifty-five million, one hundred seventy-three thousand, three hundred sixty-eight".