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22027420800 = 2733527211243
BaseRepresentation
bin10100100000111011…
…111100010010000000
32002212010110220202000
4110200323330102000
5330103004431200
614041432024000
71406600662500
oct244073742200
962763426660
1022027420800
1193839a5300
124328b32000
132100733008
1410cd67ba00
1588dc48300
hex520efc480

22027420800 has 1728 divisors, whose sum is σ = 105472936800. Its totient is φ = 4470681600.

The previous prime is 22027420787. The next prime is 22027420801. The reversal of 22027420800 is 802472022.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22027420801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 512265579 + ... + 512265621.

Almost surely, 222027420800 is an apocalyptic number.

22027420800 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 22027420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52736468400).

22027420800 is an abundant number, since it is smaller than the sum of its proper divisors (83445516000).

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

22027420800 is a wasteful number, since it uses less digits than its factorization.

22027420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 22027420800 its reverse (802472022), we get a palindrome (22829892822).

The spelling of 22027420800 in words is "twenty-two billion, twenty-seven million, four hundred twenty thousand, eight hundred".