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2294922240 = 210335131277
BaseRepresentation
bin1000100011001001…
…1011110000000000
312220221022010111000
42020302123300000
514200000002430
61015420052000
7110604342252
oct21062336000
95827263430
102294922240
11a78473056
12540694000
132a75b7b70
1417ab09cd2
15d671be60
hex88c9bc00

2294922240 has 352 divisors, whose sum is σ = 8789981760. Its totient is φ = 564461568.

The previous prime is 2294922229. The next prime is 2294922241. The reversal of 2294922240 is 422294922.

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

It is a junction number, because it is equal to n+sod(n) for n = 2294922195 and 2294922204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2294922241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1796482 + ... + 1797758.

Almost surely, 22294922240 is an apocalyptic number.

2294922240 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 2294922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394990880).

2294922240 is an abundant number, since it is smaller than the sum of its proper divisors (6495059520).

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

2294922240 is a wasteful number, since it uses less digits than its factorization.

2294922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2294922240 is about 47905.3466744580. The cubic root of 2294922240 is about 1319.0340039857.

The spelling of 2294922240 in words is "two billion, two hundred ninety-four million, nine hundred twenty-two thousand, two hundred forty".