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2272038257 = 432592353
BaseRepresentation
bin1000011101101100…
…1000110101110001
312212100020111120002
42013123020311301
514123120211012
61013241355345
7110206002146
oct20733106561
95770214502
102272038257
11a66562a75
12534a98b55
132a2934b48
14177a703cd
15d46eb7c2
hex876c8d71

2272038257 has 18 divisors (see below), whose sum is σ = 2372902002. Its totient is φ = 2175406464.

The previous prime is 2272038227. The next prime is 2272038283. The reversal of 2272038257 is 7528302722.

2272038257 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., 1860110641 + 411927616 = 43129^2 + 20296^2 .

It is not a de Polignac number, because 2272038257 - 216 = 2271972721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2272038257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272038227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6436193 + ... + 6436545.

It is an arithmetic number, because the mean of its divisors is an integer number (131827889).

Almost surely, 22272038257 is an apocalyptic number.

It is an amenable number.

2272038257 is a deficient number, since it is larger than the sum of its proper divisors (100863745).

2272038257 is an frugal number, since it uses more digits than its factorization.

2272038257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 2272038257 is about 47665.9024565779. The cubic root of 2272038257 is about 1314.6350690193.

The spelling of 2272038257 in words is "two billion, two hundred seventy-two million, thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 43 59 353 1849 2537 3481 15179 20827 109091 149683 652697 895561 1228793 6436369 38509123 52838099 2272038257