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2290254272 = 26611733391
BaseRepresentation
bin1000100010000010…
…1000000111000000
312220121111222020022
42020200220013000
514142301114042
61015132033012
7110516561105
oct21040500700
95817458208
102290254272
11a75874a29
1253b002768
132a6642257
1417a252aac
15d60e8cd2
hex888281c0

2290254272 has 56 divisors (see below), whose sum is σ = 4647297792. Its totient is φ = 1119513600.

The previous prime is 2290254247. The next prime is 2290254277. The reversal of 2290254272 is 2724520922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290254277) 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, 673697 + ... + 677087.

Almost surely, 22290254272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323648896).

2290254272 is an abundant number, since it is smaller than the sum of its proper divisors (2357043520).

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

2290254272 is a wasteful number, since it uses less digits than its factorization.

2290254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2290254272 is about 47856.6011329681. The cubic root of 2290254272 is about 1318.1390734573.

It can be divided in two parts, 229025427 and 2, that multiplied together give a palindrome (458050854).

The spelling of 2290254272 in words is "two billion, two hundred ninety million, two hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 173 244 346 488 692 976 1384 1952 2768 3391 3904 5536 6782 10553 11072 13564 21106 27128 42212 54256 84424 108512 168848 206851 217024 337696 413702 586643 675392 827404 1173286 1654808 2346572 3309616 4693144 6619232 9386288 13238464 18772576 35785223 37545152 71570446 143140892 286281784 572563568 1145127136 2290254272