Search a number
-
+
2287253904 = 2431331317373
BaseRepresentation
bin1000100001010100…
…1011100110010000
312220101212112111120
42020111023212100
514141014111104
61014543442240
7110452223505
oct21025134620
95811775446
102287253904
11a74105791
12539bb6380
132a5b316a0
14179ab14ac
15d5c04cd9
hex8854b990

2287253904 has 160 divisors (see below), whose sum is σ = 6606910464. Its totient is φ = 677099520.

The previous prime is 2287253887. The next prime is 2287253923. The reversal of 2287253904 is 4093527822.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6131862 + ... + 6132234.

Almost surely, 22287253904 is an apocalyptic number.

2287253904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287253904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303455232).

2287253904 is an abundant number, since it is smaller than the sum of its proper divisors (4319656560).

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

2287253904 is a wasteful number, since it uses less digits than its factorization.

2287253904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2287253904 is about 47825.2433762757. The cubic root of 2287253904 is about 1317.5632086354.

The spelling of 2287253904 in words is "two billion, two hundred eighty-seven million, two hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 317 372 373 403 496 624 634 744 746 806 951 1119 1209 1268 1488 1492 1612 1902 2238 2418 2536 2984 3224 3804 4121 4476 4836 4849 5072 5968 6448 7608 8242 8952 9672 9698 9827 11563 12363 14547 15216 16484 17904 19344 19396 19654 23126 24726 29094 29481 32968 34689 38792 39308 46252 49452 58188 58962 65936 69378 77584 78616 92504 98904 116376 117924 118241 127751 138756 150319 157232 185008 197808 232752 235848 236482 255502 277512 300638 354723 383253 450957 471696 472964 511004 555024 601276 709446 766506 901914 945928 1022008 1202552 1418892 1533012 1537133 1803828 1891856 2044016 2405104 2837784 3066024 3074266 3607656 3665471 4611399 5675568 6132048 6148532 7215312 7330942 9222798 10996413 12297064 14661884 18445596 21992826 24594128 29323768 36891192 43985652 47651123 58647536 73782384 87971304 95302246 142953369 175942608 190604492 285906738 381208984 571813476 762417968 1143626952 2287253904