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2298312 = 2332137233
BaseRepresentation
bin1000110001000111001000
311022202200200
420301013020
51042021222
6121132200
725351422
oct10610710
94282620
102298312
11132a835
1292a060
13626163
1443b812
15305eac
hex2311c8

2298312 has 48 divisors (see below), whose sum is σ = 6296940. Its totient is φ = 757248.

The previous prime is 2298311. The next prime is 2298313. The reversal of 2298312 is 2138922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2298311) and next prime (2298313).

It can be written as a sum of positive squares in 2 ways, for example, as 2268036 + 30276 = 1506^2 + 174^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2298311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9748 + ... + 9980.

22298312 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 2298312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148470).

2298312 is an abundant number, since it is smaller than the sum of its proper divisors (3998628).

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

2298312 is a wasteful number, since it uses less digits than its factorization.

2298312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2298312 is about 1516.0184695445. The cubic root of 2298312 is about 131.9683119528.

The spelling of 2298312 in words is "two million, two hundred ninety-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 233 274 411 466 548 699 822 932 1096 1233 1398 1644 1864 2097 2466 2796 3288 4194 4932 5592 8388 9864 16776 31921 63842 95763 127684 191526 255368 287289 383052 574578 766104 1149156 2298312