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22024012000 = 255331473779
BaseRepresentation
bin10100100000101110…
…111100000011100000
32002211220001201202011
4110200232330003200
5330101121341000
614041231002304
71406530004344
oct244056740340
962756051664
1022024012000
119381a87211
124327969394
1320ccb0b583
1410cd031624
1588d7c32ba
hex520bbc0e0

22024012000 has 192 divisors, whose sum is σ = 57062154240. Its totient is φ = 8341824000.

The previous prime is 22024011983. The next prime is 22024012033. The reversal of 22024012000 is 21042022.

It is a super-2 number, since 2×220240120002 (a number of 21 digits) contains 22 as substring.

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, 5826111 + ... + 5829889.

It is an arithmetic number, because the mean of its divisors is an integer number (297198720).

Almost surely, 222024012000 is an apocalyptic number.

22024012000 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 22024012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531077120).

22024012000 is an abundant number, since it is smaller than the sum of its proper divisors (35038142240).

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

22024012000 is a wasteful number, since it uses less digits than its factorization.

22024012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22024012000 its reverse (21042022), we get a palindrome (22045054022).

The spelling of 22024012000 in words is "twenty-two billion, twenty-four million, twelve thousand".