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22440222000 = 2432537313569
BaseRepresentation
bin10100111001100010…
…101001110100110000
32010220220020101112100
4110321202221310300
5331424144101000
614150415500400
71423042511520
oct247142516460
963826211470
1022440222000
119575a13a19
124423227700
132168107191
14112c415680
158b50d9a00
hex5398a9d30

22440222000 has 480 divisors, whose sum is σ = 90016917120. Its totient is φ = 5103820800.

The previous prime is 22440221989. The next prime is 22440222053. The reversal of 22440222000 is 22204422.

22440222000 is a `hidden beast` number, since 2 + 2 + 440 + 2 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39437716 + ... + 39438284.

It is an arithmetic number, because the mean of its divisors is an integer number (187535244).

Almost surely, 222440222000 is an apocalyptic number.

22440222000 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 22440222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45008458560).

22440222000 is an abundant number, since it is smaller than the sum of its proper divisors (67576695120).

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

22440222000 is a wasteful number, since it uses less digits than its factorization.

22440222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 899 counting only the distinct ones).

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

Adding to 22440222000 its reverse (22204422), we get a palindrome (22462426422).

The spelling of 22440222000 in words is "twenty-two billion, four hundred forty million, two hundred twenty-two thousand".