Search a number
-
+
2297568 = 253713263
BaseRepresentation
bin1000110000111011100000
311022201200010
420300323200
51042010233
6121124520
725346310
oct10607340
94281603
102297568
11132a219
12929740
13625a10
1443b440
15305b63
hex230ee0

2297568 has 96 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 603648.

The previous prime is 2297543. The next prime is 2297573. The reversal of 2297568 is 8657922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (60480) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8605 + ... + 8867.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

22297568 is an apocalyptic number.

2297568 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 2297568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2297568 is an abundant number, since it is smaller than the sum of its proper divisors (5153568).

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

2297568 is a wasteful number, since it uses less digits than its factorization.

2297568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2297568 is about 1515.7730700867. The cubic root of 2297568 is about 131.9540703383.

The spelling of 2297568 in words is "two million, two hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 263 273 312 336 364 416 526 546 624 672 728 789 1052 1092 1248 1456 1578 1841 2104 2184 2912 3156 3419 3682 4208 4368 5523 6312 6838 7364 8416 8736 10257 11046 12624 13676 14728 20514 22092 23933 25248 27352 29456 41028 44184 47866 54704 58912 71799 82056 88368 95732 109408 143598 164112 176736 191464 287196 328224 382928 574392 765856 1148784 2297568