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2245427072 = 27723108959
BaseRepresentation
bin1000010111010110…
…0111111110000000
312210111011111212122
42011311213332000
514044312131242
61010451143412
7106433546420
oct20565477600
95714144778
102245427072
11a52537659
12527ba4b68
1329a278495
14174304480
15d21e1ad2
hex85d67f80

2245427072 has 64 divisors (see below), whose sum is σ = 5334681600. Its totient is φ = 920477184.

The previous prime is 2245427071. The next prime is 2245427131. The reversal of 2245427072 is 2707245422.

2245427072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245427071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33872 + ... + 75087.

It is an arithmetic number, because the mean of its divisors is an integer number (83354400).

Almost surely, 22245427072 is an apocalyptic number.

It is an amenable number.

2245427072 is an abundant number, since it is smaller than the sum of its proper divisors (3089254528).

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

2245427072 is a wasteful number, since it uses less digits than its factorization.

2245427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109003 (or 108991 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 35.

The square root of 2245427072 is about 47385.9374920450. The cubic root of 2245427072 is about 1309.4823571041.

The spelling of 2245427072 in words is "two billion, two hundred forty-five million, four hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 10304 20608 108959 217918 435836 762713 871672 1525426 1743344 2506057 3050852 3486688 5012114 6101704 6973376 10024228 12203408 13946752 17542399 20048456 24406816 35084798 40096912 48813632 70169596 80193824 97627264 140339192 160387648 280678384 320775296 561356768 1122713536 2245427072