Search a number
-
+
2290296528 = 2432131223449
BaseRepresentation
bin1000100010000011…
…0010011011010000
312220121121010012100
42020200302123100
514142303442103
61015133000400
7110520125232
oct21040623320
95817533170
102290296528
11a758a3753
1253b023100
132a6658560
1417a264252
15d61065a3
hex888326d0

2290296528 has 60 divisors (see below), whose sum is σ = 6902704900. Its totient is φ = 704706048.

The previous prime is 2290296527. The next prime is 2290296529. The reversal of 2290296528 is 8256920922.

It is an interprime number because it is at equal distance from previous prime (2290296527) and next prime (2290296529).

It can be written as a sum of positive squares in 2 ways, for example, as 287913024 + 2002383504 = 16968^2 + 44748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290296521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609853 + ... + 613596.

Almost surely, 22290296528 is an apocalyptic number.

It is an amenable number.

2290296528 is an abundant number, since it is smaller than the sum of its proper divisors (4612408372).

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

2290296528 is a wasteful number, since it uses less digits than its factorization.

2290296528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223476 (or 1223467 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2290296528 is about 47857.0426165261. The cubic root of 2290296528 is about 1318.1471801179.

The spelling of 2290296528 in words is "two billion, two hundred ninety million, two hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 1223449 2446898 3670347 4893796 7340694 9787592 11011041 14681388 15904837 19575184 22022082 29362776 31809674 44044164 47714511 58725552 63619348 88088328 95429022 127238696 143143533 176176656 190858044 254477392 286287066 381716088 572574132 763432176 1145148264 2290296528