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22004444000 = 255371171443
BaseRepresentation
bin10100011111100100…
…010010101101100000
32002210112020120111102
4110133210102231200
5330031114202000
614035251333532
71406201454650
oct243744225540
962715216442
1022004444000
119371a31510
1243212b12a8
1320c8a49986
1410ca5ba360
1588bc0a3d5
hex51f912b60

22004444000 has 192 divisors, whose sum is σ = 67406556672. Its totient is φ = 6858432000.

The previous prime is 22004443991. The next prime is 22004444023. The reversal of 22004444000 is 44440022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272279 + ... + 343721.

It is an arithmetic number, because the mean of its divisors is an integer number (351075816).

Almost surely, 222004444000 is an apocalyptic number.

22004444000 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 22004444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33703278336).

22004444000 is an abundant number, since it is smaller than the sum of its proper divisors (45402112672).

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

22004444000 is a wasteful number, since it uses less digits than its factorization.

22004444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71486 (or 71468 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22004444000 its reverse (44440022), we get a palindrome (22048884022).

It can be divided in two parts, 2 and 2004444000, that added together give a palindrome (2004444002).

The spelling of 22004444000 in words is "twenty-two billion, four million, four hundred forty-four thousand".