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2297040 = 243517563
BaseRepresentation
bin1000110000110011010000
311022200221120
420300303100
51042001130
6121122240
725344624
oct10606320
94280846
102297040
111329889
12929380
136256c5
1443b184
15305910
hex230cd0

2297040 has 80 divisors (see below), whose sum is σ = 7553088. Its totient is φ = 575488.

The previous prime is 2297039. The next prime is 2297041. The reversal of 2297040 is 407922.

It is an interprime number because it is at equal distance from previous prime (2297039) and next prime (2297041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2297040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3799 + ... + 4361.

22297040 is an apocalyptic number.

2297040 is a gapful number since it is divisible by the number (20) 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 2297040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776544).

2297040 is an abundant number, since it is smaller than the sum of its proper divisors (5256048).

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

2297040 is a wasteful number, since it uses less digits than its factorization.

2297040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2297040 is about 1515.5988915277. The cubic root of 2297040 is about 131.9439615208.

The spelling of 2297040 in words is "two million, two hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 563 680 816 1020 1126 1360 1689 2040 2252 2815 3378 4080 4504 5630 6756 8445 9008 9571 11260 13512 16890 19142 22520 27024 28713 33780 38284 45040 47855 57426 67560 76568 95710 114852 135120 143565 153136 191420 229704 287130 382840 459408 574260 765680 1148520 2297040