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2245764096 = 21033431889
BaseRepresentation
bin1000010111011011…
…1010010000000000
312210111210122012000
42011312322100000
514044403422341
61010502304000
7106436452122
oct20566722000
95714718160
102245764096
11a52747894
12528128000
1329a3659c4
14174391212
15d225b8b6
hex85dba400

2245764096 has 176 divisors, whose sum is σ = 6809140800. Its totient is φ = 730791936.

The previous prime is 2245764077. The next prime is 2245764133. The reversal of 2245764096 is 6904675422.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1187920 + ... + 1189808.

It is an arithmetic number, because the mean of its divisors is an integer number (38688300).

Almost surely, 22245764096 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 2245764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404570400).

2245764096 is an abundant number, since it is smaller than the sum of its proper divisors (4563376704).

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

2245764096 is a wasteful number, since it uses less digits than its factorization.

2245764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2245764096 is about 47389.4935191335. The cubic root of 2245764096 is about 1309.5478687550.

The spelling of 2245764096 in words is "two billion, two hundred forty-five million, seven hundred sixty-four thousand, ninety-six".