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2294054400 = 29352115431
BaseRepresentation
bin1000100010111100…
…0111111000000000
312220212200001000210
42020233013320000
514144234220100
61015345314120
7110564066151
oct21057077000
95825601023
102294054400
11a77a30030
12540335940
132a7372b51
1417a961928
15d65e9c50
hex88bc7e00

2294054400 has 240 divisors, whose sum is σ = 8268720768. Its totient is φ = 556032000.

The previous prime is 2294054383. The next prime is 2294054423. The reversal of 2294054400 is 44504922.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419685 + ... + 425115.

Almost surely, 22294054400 is an apocalyptic number.

2294054400 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 2294054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134360384).

2294054400 is an abundant number, since it is smaller than the sum of its proper divisors (5974666368).

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

2294054400 is a wasteful number, since it uses less digits than its factorization.

2294054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2294054400 is about 47896.2879563751. The cubic root of 2294054400 is about 1318.8677158833.

The spelling of 2294054400 in words is "two billion, two hundred ninety-four million, fifty-four thousand, four hundred".