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2285031204 = 22323122572
BaseRepresentation
bin1000100000110010…
…1100111100100100
312220020200121112100
42020030230330210
514134431444304
61014424052100
7110424305361
oct21014547444
95806617470
102285031204
11a72927845
12539304030
132a5533a91
14179693468
15d5916439
hex8832cf24

2285031204 has 81 divisors (see below), whose sum is σ = 5991699441. Its totient is φ = 734238720.

The previous prime is 2285031167. The next prime is 2285031211. The reversal of 2285031204 is 4021305822.

The square root of 2285031204 is 47802.

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

It can be written as a sum of positive squares in only one way, i.e., 2249604900 + 35426304 = 47430^2 + 5952^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 8891044 + ... + 8891300.

Almost surely, 22285031204 is an apocalyptic number.

2285031204 is the 47802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285031204

2285031204 is an abundant number, since it is smaller than the sum of its proper divisors (3706668237).

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

2285031204 is a wasteful number, since it uses less digits than its factorization.

2285031204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 2285031204 is about 1317.1362779126.

The spelling of 2285031204 in words is "two billion, two hundred eighty-five million, thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 257 279 372 514 558 771 961 1028 1116 1542 1922 2313 2883 3084 3844 4626 5766 7967 8649 9252 11532 15934 17298 23901 31868 34596 47802 66049 71703 95604 132098 143406 198147 246977 264196 286812 396294 493954 594441 740931 792588 987908 1188882 1481862 2047519 2222793 2377764 2963724 4095038 4445586 6142557 8190076 8891172 12285114 18427671 24570228 36855342 63473089 73710684 126946178 190419267 253892356 380838534 571257801 761677068 1142515602 2285031204