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2290251728 = 243117212683
BaseRepresentation
bin1000100010000010…
…0111011111010000
312220121111211202002
42020200213133100
514142301023403
61015132013132
7110516550512
oct21040473720
95817454662
102290251728
11a75873026
1253b0011a8
132a664104b
1417a251bb2
15d60e8188
hex888277d0

2290251728 has 40 divisors (see below), whose sum is σ = 4584873216. Its totient is φ = 1107129600.

The previous prime is 2290251721. The next prime is 2290251731. The reversal of 2290251728 is 8271520922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2290251691 and 2290251700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290251721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852275 + ... + 854957.

Almost surely, 22290251728 is an apocalyptic number.

It is an amenable number.

2290251728 is an abundant number, since it is smaller than the sum of its proper divisors (2294621488).

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

2290251728 is a wasteful number, since it uses less digits than its factorization.

2290251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 2290251728 is about 47856.5745535553. The cubic root of 2290251728 is about 1318.1385853969.

The spelling of 2290251728 in words is "two billion, two hundred ninety million, two hundred fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 1721 2683 3442 5366 6884 10732 13768 21464 27536 42928 53351 83173 106702 166346 213404 332692 426808 665384 853616 1330768 4617443 9234886 18469772 36939544 73879088 143140733 286281466 572562932 1145125864 2290251728