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2297472 = 27331193
BaseRepresentation
bin1000110000111010000000
311022201112120
420300322000
51042004342
6121124240
725346112
oct10607200
94281476
102297472
11132a141
12929680
13625968
1443b3b2
15305aec
hex230e80

2297472 has 64 divisors (see below), whose sum is σ = 6332160. Its totient is φ = 737280.

The previous prime is 2297437. The next prime is 2297473. The reversal of 2297472 is 2747922.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2297473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11808 + ... + 12000.

It is an arithmetic number, because the mean of its divisors is an integer number (98940).

22297472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166080).

2297472 is an abundant number, since it is smaller than the sum of its proper divisors (4034688).

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

2297472 is a wasteful number, since it uses less digits than its factorization.

2297472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 2297472 is about 1515.7414027465. The cubic root of 2297472 is about 131.9522324866.

The spelling of 2297472 in words is "two million, two hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 193 248 372 384 386 496 579 744 772 992 1158 1488 1544 1984 2316 2976 3088 3968 4632 5952 5983 6176 9264 11904 11966 12352 17949 18528 23932 24704 35898 37056 47864 71796 74112 95728 143592 191456 287184 382912 574368 765824 1148736 2297472