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2296313400 = 23352191571283
BaseRepresentation
bin1000100011011110…
…1111011000111000
312221000220210210110
42020313233120320
514200324012100
61015505544320
7110622225153
oct21067573070
95830823713
102296313400
11a79233277
125410450a0
132a7984134
1417ad8cc9a
15d68e4250
hex88def638

2296313400 has 192 divisors, whose sum is σ = 7546838400. Its totient is φ = 575976960.

The previous prime is 2296313387. The next prime is 2296313407. The reversal of 2296313400 is 43136922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296313407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1789159 + ... + 1790441.

It is an arithmetic number, because the mean of its divisors is an integer number (39306450).

Almost surely, 22296313400 is an apocalyptic number.

2296313400 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 2296313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773419200).

2296313400 is an abundant number, since it is smaller than the sum of its proper divisors (5250525000).

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

2296313400 is a wasteful number, since it uses less digits than its factorization.

2296313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2296313400 is about 47919.8643570701. The cubic root of 2296313400 is about 1319.3004787641.

It can be divided in two parts, 22963 and 13400, that added together give a palindrome (36363).

The spelling of 2296313400 in words is "two billion, two hundred ninety-six million, three hundred thirteen thousand, four hundred".