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2245521096 = 2333713234967
BaseRepresentation
bin1000010111010111…
…1110111011001000
312210111100021212000
42011311332323020
514044323133341
61010453151000
7106434420510
oct20565767310
95714307760
102245521096
11a525a1265
1252802b460
1329a2ac210
1417432a840
15d220e8b6
hex85d7eec8

2245521096 has 256 divisors, whose sum is σ = 8012390400. Its totient is φ = 566362368.

The previous prime is 2245521079. The next prime is 2245521133. The reversal of 2245521096 is 6901255422.

2245521096 is a `hidden beast` number, since 2 + 2 + 4 + 552 + 10 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2245521096.

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, 449605 + ... + 454571.

It is an arithmetic number, because the mean of its divisors is an integer number (31298400).

Almost surely, 22245521096 is an apocalyptic number.

2245521096 is a gapful number since it is divisible by the number (26) 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 2245521096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006195200).

2245521096 is an abundant number, since it is smaller than the sum of its proper divisors (5766869304).

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

2245521096 is a wasteful number, since it uses less digits than its factorization.

2245521096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2245521096 is about 47386.9295903417. The cubic root of 2245521096 is about 1309.5006344067.

The spelling of 2245521096 in words is "two billion, two hundred forty-five million, five hundred twenty-one thousand, ninety-six".