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42222222000 = 24375372197
BaseRepresentation
bin100111010100101000…
…111111101010110000
311000222112120010000000
4213110220333222300
51142432342101000
631221400430000
73023206652100
oct472450775260
9130875503000
1042222222000
11169a7386352
128224178300
133c9b59481a
142087791200
151171b43000
hex9d4a3fab0

42222222000 has 960 divisors, whose sum is σ = 179019434880. Its totient is φ = 9601804800.

The previous prime is 42222221999. The next prime is 42222222089. The reversal of 42222222000 is 22222224.

It is a happy number.

42222222000 is a `hidden beast` number, since 422 + 2 + 22 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

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 191 ways as a sum of consecutive naturals, for example, 214325902 + ... + 214326098.

It is an arithmetic number, because the mean of its divisors is an integer number (186478578).

Almost surely, 242222222000 is an apocalyptic number.

42222222000 is a gapful number since it is divisible by the number (40) 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 42222222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89509717440).

42222222000 is an abundant number, since it is smaller than the sum of its proper divisors (136797212880).

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

42222222000 is an equidigital number, since it uses as much as digits as its factorization.

42222222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42222222000 its reverse (22222224), we get a palindrome (42244444224).

It can be divided in two parts, 4222 and 2222000, that added together give a palindrome (2226222).

The spelling of 42222222000 in words is "forty-two billion, two hundred twenty-two million, two hundred twenty-two thousand".