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2263200000 = 283552341
BaseRepresentation
bin1000011011100101…
…1011000100000000
312211201121110202020
42012321123010000
514113334400000
61012324121440
7110040611505
oct20671330400
95751543666
102263200000
11a61576726
12531b36280
132a0b5bcc9
1417680d4ac
15d3a52ba0
hex86e5b100

2263200000 has 432 divisors, whose sum is σ = 8047734912. Its totient is φ = 563200000.

The previous prime is 2263199971. The next prime is 2263200007. The reversal of 2263200000 is 23622.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2263200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55199980 + ... + 55200020.

It is an arithmetic number, because the mean of its divisors is an integer number (18629016).

Almost surely, 22263200000 is an apocalyptic number.

2263200000 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 2263200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023867456).

2263200000 is an abundant number, since it is smaller than the sum of its proper divisors (5784534912).

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

2263200000 is an frugal number, since it uses more digits than its factorization.

2263200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2263200000 is about 47573.1016436810. The cubic root of 2263200000 is about 1312.9282049535.

Adding to 2263200000 its reverse (23622), we get a palindrome (2263223622).

The spelling of 2263200000 in words is "two billion, two hundred sixty-three million, two hundred thousand".