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2275671616 = 26672892
BaseRepresentation
bin1000011110100011…
…1111111001000000
312212121002002120221
42013220333321000
514130032442431
61013451312424
7110251614061
oct20750777100
95777062527
102275671616
11a68614849
1253614b714
132a360786a
14178338568
15d4bb8111
hex87a3fe40

2275671616 has 63 divisors (see below), whose sum is σ = 4636278129. Its totient is φ = 1108259328.

The previous prime is 2275671611. The next prime is 2275671637. The reversal of 2275671616 is 6161765722.

The square root of 2275671616 is 47704.

It is a perfect power (a square), and thus also a powerful number.

2275671616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 436977216 + 1838694400 = 20904^2 + 42880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2275671611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25569300 + ... + 25569388.

Almost surely, 22275671616 is an apocalyptic number.

2275671616 is the 47704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275671616

2275671616 is an abundant number, since it is smaller than the sum of its proper divisors (2360606513).

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

2275671616 is an frugal number, since it uses more digits than its factorization.

2275671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 158 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The cubic root of 2275671616 is about 1315.3354676223.

The spelling of 2275671616 in words is "two billion, two hundred seventy-five million, six hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 67 89 134 178 268 356 536 712 1072 1424 2144 2848 4288 4489 5696 5963 7921 8978 11926 15842 17956 23852 31684 35912 47704 63368 71824 95408 126736 143648 190816 253472 287296 381632 399521 506944 530707 799042 1061414 1598084 2122828 3196168 4245656 6392336 8491312 12784672 16982624 25569344 33965248 35557369 71114738 142229476 284458952 568917904 1137835808 2275671616