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2263222080 = 263357231627
BaseRepresentation
bin1000011011100110…
…0000011101000000
312211201122121001000
42012321200131000
514113341101310
61012324412000
7110041033050
oct20671403500
95751577030
102263222080
11a61591279
12531b47000
132a0b69082
14176817560
15d3a594c0
hex86e60740

2263222080 has 448 divisors, whose sum is σ = 9527316480. Its totient is φ = 494512128.

The previous prime is 2263222079. The next prime is 2263222097. The reversal of 2263222080 is 802223622.

It is a happy number.

2263222080 is a `hidden beast` number, since 2 + 2 + 632 + 2 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1390227 + ... + 1391853.

Almost surely, 22263222080 is an apocalyptic number.

2263222080 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 2263222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763658240).

2263222080 is an abundant number, since it is smaller than the sum of its proper divisors (7264094400).

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

2263222080 is a wasteful number, since it uses less digits than its factorization.

2263222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2263222080 is about 47573.3337070254. Note that the first 3 decimals coincide. The cubic root of 2263222080 is about 1312.9324746249.

The spelling of 2263222080 in words is "two billion, two hundred sixty-three million, two hundred twenty-two thousand, eighty".