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2225397760 = 213554331
BaseRepresentation
bin1000010010100100…
…1110000000000000
312202002110220211021
42010221032000000
514024200212020
61004453555224
7106101366055
oct20451160000
95662426737
102225397760
11a421a7303
12521345b14
13296084911
141717ad02c
15d05871aa
hex84a4e000

2225397760 has 56 divisors (see below), whose sum is σ = 5340726936. Its totient is φ = 890142720.

The previous prime is 2225397749. The next prime is 2225397793. The reversal of 2225397760 is 677935222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13795 + ... + 68125.

Almost surely, 22225397760 is an apocalyptic number.

2225397760 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 2225397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670363468).

2225397760 is an abundant number, since it is smaller than the sum of its proper divisors (3115329176).

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

2225397760 is an frugal number, since it uses more digits than its factorization.

2225397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54362 (or 54338 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 2225397760 is about 47174.1217194343. The cubic root of 2225397760 is about 1305.5771750463.

The spelling of 2225397760 in words is "two billion, two hundred twenty-five million, three hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 20480 40960 54331 108662 217324 271655 434648 543310 869296 1086620 1738592 2173240 3477184 4346480 6954368 8692960 13908736 17385920 27817472 34771840 55634944 69543680 111269888 139087360 222539776 278174720 445079552 556349440 1112698880 2225397760