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22414041420 = 223523291972843
BaseRepresentation
bin10100110111111110…
…110010000101001100
32010212001222021112020
4110313332302011030
5331400443311140
614144042410140
71422304131351
oct246776620514
963761867466
1022414041420
119562162081
124416500950
13216286b804
141128b5c628
158b2b676d0
hex537fb214c

22414041420 has 192 divisors, whose sum is σ = 68114027520. Its totient is φ = 5490107392.

The previous prime is 22414041401. The next prime is 22414041451. The reversal of 22414041420 is 2414041422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7882519 + ... + 7885361.

It is an arithmetic number, because the mean of its divisors is an integer number (354760560).

Almost surely, 222414041420 is an apocalyptic number.

22414041420 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 22414041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34057013760).

22414041420 is an abundant number, since it is smaller than the sum of its proper divisors (45699986100).

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

22414041420 is a wasteful number, since it uses less digits than its factorization.

22414041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22414041420 its reverse (2414041422), we get a palindrome (24828082842).

The spelling of 22414041420 in words is "twenty-two billion, four hundred fourteen million, forty-one thousand, four hundred twenty".