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2422794240 = 21134523127
BaseRepresentation
bin1001000001101000…
…1110100000000000
320020211220200220000
42100122032200000
514430213403430
61040224520000
7114016261026
oct22032164000
96224820800
102422794240
111033671199
12577480000
132c7c39b79
1418dab4716
15e2a79e60
hex9068e800

2422794240 has 480 divisors, whose sum is σ = 9132963840. Its totient is φ = 613122048.

The previous prime is 2422794233. The next prime is 2422794251. The reversal of 2422794240 is 424972242.

2422794240 is a `hidden beast` number, since 2 + 4 + 227 + 9 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2422794195 and 2422794204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19077057 + ... + 19077183.

It is an arithmetic number, because the mean of its divisors is an integer number (19027008).

Almost surely, 22422794240 is an apocalyptic number.

2422794240 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 2422794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566481920).

2422794240 is an abundant number, since it is smaller than the sum of its proper divisors (6710169600).

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

2422794240 is a wasteful number, since it uses less digits than its factorization.

2422794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2422794240 is about 49221.8878142641. The cubic root of 2422794240 is about 1343.0912223816.

The spelling of 2422794240 in words is "two billion, four hundred twenty-two million, seven hundred ninety-four thousand, two hundred forty".