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2297664 = 26323989
BaseRepresentation
bin1000110000111101000000
311022201210200
420300331000
51042011124
6121125200
725346505
oct10607500
94281720
102297664
11132a2a6
12929800
13625a85
1443b4ac
15305bc9
hex230f40

2297664 has 42 divisors (see below), whose sum is σ = 6587490. Its totient is φ = 765696.

The previous prime is 2297657. The next prime is 2297671. The reversal of 2297664 is 4667922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2297657) and next prime (2297671).

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 360000 = 1392^2 + 600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1419 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (156845).

22297664 is an apocalyptic number.

2297664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2297664 is an abundant number, since it is smaller than the sum of its proper divisors (4289826).

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

2297664 is a wasteful number, since it uses less digits than its factorization.

2297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3994 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2297664 is about 1515.8047367653. The cubic root of 2297664 is about 131.9559081387.

The spelling of 2297664 in words is "two million, two hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3989 7978 11967 15956 23934 31912 35901 47868 63824 71802 95736 127648 143604 191472 255296 287208 382944 574416 765888 1148832 2297664