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2297328 = 2431119229
BaseRepresentation
bin1000110000110111110000
311022201100020
420300313300
51042003303
6121123440
725345515
oct10606760
94281306
102297328
11132a020
12929580
13625887
1443b30c
15305a53
hex230df0

2297328 has 80 divisors (see below), whose sum is σ = 6844800. Its totient is φ = 656640.

The previous prime is 2297327. The next prime is 2297333. The reversal of 2297328 is 8237922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297327) 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, 9918 + ... + 10146.

It is an arithmetic number, because the mean of its divisors is an integer number (85560).

22297328 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 2297328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422400).

2297328 is an abundant number, since it is smaller than the sum of its proper divisors (4547472).

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

2297328 is a wasteful number, since it uses less digits than its factorization.

2297328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2297328 is about 1515.6939004957. The cubic root of 2297328 is about 131.9494756132.

It can be divided in two parts, 229 and 7328, that added together give a palindrome (7557).

The spelling of 2297328 in words is "two million, two hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 229 264 304 418 456 458 528 627 687 836 912 916 1254 1374 1672 1832 2508 2519 2748 3344 3664 4351 5016 5038 5496 7557 8702 10032 10076 10992 13053 15114 17404 20152 26106 30228 34808 40304 47861 52212 60456 69616 95722 104424 120912 143583 191444 208848 287166 382888 574332 765776 1148664 2297328