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22012300800 = 2936527337
BaseRepresentation
bin10100100000000010…
…010000111000000000
32002211002000202000000
4110200002100320000
5330040122111200
614040132000000
71406325320040
oct244002207000
962732022000
1022012300800
119376408436
124323a60000
1320ca56ab79
1410cb663720
1588c75d300
hex520090e00

22012300800 has 840 divisors, whose sum is σ = 93726883536. Its totient is φ = 5016453120.

The previous prime is 22012300799. The next prime is 22012300829. The reversal of 22012300800 is 800321022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 65318232 + ... + 65318568.

Almost surely, 222012300800 is an apocalyptic number.

22012300800 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 22012300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46863441768).

22012300800 is an abundant number, since it is smaller than the sum of its proper divisors (71714582736).

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

22012300800 is an frugal number, since it uses more digits than its factorization.

22012300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22012300800 its reverse (800321022), we get a palindrome (22812621822).

The spelling of 22012300800 in words is "twenty-two billion, twelve million, three hundred thousand, eight hundred".