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2422867680 = 253354313043
BaseRepresentation
bin1001000001101010…
…0000011011100000
320020212001102122000
42100122200123200
514430223231210
61040230244000
7114020015112
oct22032403340
96225042560
102422867680
111033711392
125774b6600
132c7c6441c
1418dad33b2
15e2a91ac0
hex906a06e0

2422867680 has 192 divisors, whose sum is σ = 8677912320. Its totient is φ = 631024128.

The previous prime is 2422867673. The next prime is 2422867703. The reversal of 2422867680 is 867682242.

2422867680 is a `hidden beast` number, since 2 + 422 + 86 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 179239 + ... + 192281.

It is an arithmetic number, because the mean of its divisors is an integer number (45197460).

Almost surely, 22422867680 is an apocalyptic number.

2422867680 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 2422867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338956160).

2422867680 is an abundant number, since it is smaller than the sum of its proper divisors (6255044640).

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

2422867680 is a wasteful number, since it uses less digits than its factorization.

2422867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13110 (or 13096 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2422867680 is about 49222.6338181938. The cubic root of 2422867680 is about 1343.1047928864.

The spelling of 2422867680 in words is "two billion, four hundred twenty-two million, eight hundred sixty-seven thousand, six hundred eighty".