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2263798368 = 253413232127
BaseRepresentation
bin1000011011101110…
…1101001001100000
312211202201212120000
42012323231021200
514114013021433
61012345020000
7110045653146
oct20673551140
95752655500
102263798368
11a61945247
12532184600
132a100b480
14176927596
15d3b20113
hex86eed260

2263798368 has 360 divisors, whose sum is σ = 7554210048. Its totient is φ = 661022208.

The previous prime is 2263798363. The next prime is 2263798423. The reversal of 2263798368 is 8638973622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5225472) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263798363) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17825121 + ... + 17825247.

Almost surely, 22263798368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263798368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777105024).

2263798368 is an abundant number, since it is smaller than the sum of its proper divisors (5290411680).

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

2263798368 is a wasteful number, since it uses less digits than its factorization.

2263798368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 168 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2263798368 is about 47579.3901600262. The cubic root of 2263798368 is about 1313.0439032271.

The spelling of 2263798368 in words is "two billion, two hundred sixty-three million, seven hundred ninety-eight thousand, three hundred sixty-eight".