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2290288 = 247112132
BaseRepresentation
bin1000101111001001110000
311022100200111
420233021300
51041242123
6121031104
725316140
oct10571160
94270614
102290288
111324800
12925494
13622600
14438920
1530390d
hex22f270

2290288 has 90 divisors (see below), whose sum is σ = 6036072. Its totient is φ = 823680.

The previous prime is 2290283. The next prime is 2290339. The reversal of 2290288 is 8820922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290283) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 176170 + ... + 176182.

22290288 is an apocalyptic number.

2290288 is a gapful number since it is divisible by the number (28) 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 2290288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018036).

2290288 is an abundant number, since it is smaller than the sum of its proper divisors (3745784).

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

2290288 is a wasteful number, since it uses less digits than its factorization.

2290288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2290288 is about 1513.3697499289. The cubic root of 2290288 is about 131.8145544060.

The spelling of 2290288 in words is "two million, two hundred ninety thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 121 143 154 169 176 182 208 242 286 308 338 364 484 572 616 676 728 847 968 1001 1144 1183 1232 1352 1456 1573 1694 1859 1936 2002 2288 2366 2704 3146 3388 3718 4004 4732 6292 6776 7436 8008 9464 11011 12584 13013 13552 14872 16016 18928 20449 22022 25168 26026 29744 40898 44044 52052 81796 88088 104104 143143 163592 176176 208208 286286 327184 572572 1145144 2290288