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2293200000 = 2732557213
BaseRepresentation
bin1000100010101111…
…0111010010000000
312220211001122000100
42020223313102000
514144024400000
61015315122400
7110553610200
oct21053672200
95824048010
102293200000
11a774a7113
1253bba3400
132a7133ca0
1417a7bc400
15d64cba00
hex88af7480

2293200000 has 864 divisors, whose sum is σ = 10332815220. Its totient is φ = 483840000.

The previous prime is 2293199957. The next prime is 2293200001. The reversal of 2293200000 is 23922.

It can be written as a sum of positive squares in 6 ways, for example, as 626601024 + 1666598976 = 25032^2 + 40824^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2293200001) 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 107 ways as a sum of consecutive naturals, for example, 176399994 + ... + 176400006.

Almost surely, 22293200000 is an apocalyptic number.

2293200000 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 2293200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166407610).

2293200000 is an abundant number, since it is smaller than the sum of its proper divisors (8039615220).

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

2293200000 is an equidigital number, since it uses as much as digits as its factorization.

2293200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2293200000 is about 47887.3678541638. The cubic root of 2293200000 is about 1318.7039620654.

Adding to 2293200000 its reverse (23922), we get a palindrome (2293223922).

The spelling of 2293200000 in words is "two billion, two hundred ninety-three million, two hundred thousand".