Search a number
-
+
2297318400 = 210325213259
BaseRepresentation
bin1000100011101110…
…0100110000000000
312221002210212101200
42020323210300000
514201103142100
61015543301200
7110633612166
oct21073446000
95832725350
102297318400
11a7985a353
1254144a800
132a7c46700
1417b171236
15d6a41e00
hex88ee4c00

2297318400 has 594 divisors, whose sum is σ = 9057852180. Its totient is φ = 555909120.

The previous prime is 2297318393. The next prime is 2297318411. The reversal of 2297318400 is 48137922.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38937571 + ... + 38937629.

Almost surely, 22297318400 is an apocalyptic number.

2297318400 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 2297318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528926090).

2297318400 is an abundant number, since it is smaller than the sum of its proper divisors (6760533780).

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

2297318400 is a wasteful number, since it uses less digits than its factorization.

2297318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2297318400 is about 47930.3494667001. The cubic root of 2297318400 is about 1319.4929181757.

The spelling of 2297318400 in words is "two billion, two hundred ninety-seven million, three hundred eighteen thousand, four hundred".