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2263347200 = 2125223312
BaseRepresentation
bin1000011011100111…
…1111000000000000
312211201212221200002
42012321333000000
514113404102300
61012331215132
7110042063612
oct20671770000
95751787602
102263347200
11a61667284
12531ba74a8
132a0bb0cca
1417684adb2
15d3a815d5
hex86e7f000

2263347200 has 234 divisors, whose sum is σ = 6051445272. Its totient is φ = 838041600.

The previous prime is 2263347199. The next prime is 2263347209. The reversal of 2263347200 is 27433622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263347209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73011185 + ... + 73011215.

Almost surely, 22263347200 is an apocalyptic number.

2263347200 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 2263347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025722636).

2263347200 is an abundant number, since it is smaller than the sum of its proper divisors (3788098072).

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

2263347200 is an equidigital number, since it uses as much as digits as its factorization.

2263347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 2263347200 is about 47574.6487112622. The cubic root of 2263347200 is about 1312.9566689046.

The spelling of 2263347200 in words is "two billion, two hundred sixty-three million, three hundred forty-seven thousand, two hundred".