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22141412000 = 255317833923
BaseRepresentation
bin10100100111101110…
…110010001010100000
32010011001222021021022
4110213232302022200
5330321200141000
614101023145012
71412453616401
oct244756621240
963131867238
1022141412000
119432282604
12435b145168
13211b234c26
1411008719a8
15898c63585
hex527bb22a0

22141412000 has 192 divisors, whose sum is σ = 58310388864. Its totient is φ = 8233062400.

The previous prime is 22141411997. The next prime is 22141412003. The reversal of 22141412000 is 21414122.

It is an interprime number because it is at equal distance from previous prime (22141411997) and next prime (22141412003).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 22141412000.

It is not an unprimeable number, because it can be changed into a prime (22141412003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5642039 + ... + 5645961.

It is an arithmetic number, because the mean of its divisors is an integer number (303699942).

Almost surely, 222141412000 is an apocalyptic number.

22141412000 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 22141412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29155194432).

22141412000 is an abundant number, since it is smaller than the sum of its proper divisors (36168976864).

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

22141412000 is a wasteful number, since it uses less digits than its factorization.

22141412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22141412000 its reverse (21414122), we get a palindrome (22162826122).

The spelling of 22141412000 in words is "twenty-two billion, one hundred forty-one million, four hundred twelve thousand".