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2244274560 = 273351111807
BaseRepresentation
bin1000010111000100…
…1110100110000000
312210101222221221000
42011301032212000
514044013241220
61010410332000
7106421006343
oct20561164600
95711887830
102244274560
11a5191a770
1252772a000
13299c63a18
141740c445a
15d2065390
hex85c4e980

2244274560 has 256 divisors, whose sum is σ = 8671795200. Its totient is φ = 544020480.

The previous prime is 2244274541. The next prime is 2244274573. The reversal of 2244274560 is 654724422.

2244274560 is a `hidden beast` number, since 2 + 24 + 4 + 2 + 74 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184177 + ... + 195983.

It is an arithmetic number, because the mean of its divisors is an integer number (33874200).

Almost surely, 22244274560 is an apocalyptic number.

2244274560 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 2244274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335897600).

2244274560 is an abundant number, since it is smaller than the sum of its proper divisors (6427520640).

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

2244274560 is a wasteful number, since it uses less digits than its factorization.

2244274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11846 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2244274560 is about 47373.7750237407. The cubic root of 2244274560 is about 1309.2582791055.

Adding to 2244274560 its reverse (654724422), we get a palindrome (2898998982).

The spelling of 2244274560 in words is "two billion, two hundred forty-four million, two hundred seventy-four thousand, five hundred sixty".