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22245100800 = 283521389123
BaseRepresentation
bin10100101101111010…
…010100110100000000
32010102022002012120020
4110231322110310000
5331024221211200
614115205413440
71415153144166
oct245572246400
963368065506
1022245100800
11948586352a
124389a0a280
13213686a750
141110543236
158a2de5ea0
hex52de94d00

22245100800 has 216 divisors, whose sum is σ = 79061543904. Its totient is φ = 5475655680.

The previous prime is 22245100783. The next prime is 22245100811. The reversal of 22245100800 is 800154222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205039 + ... + 294161.

Almost surely, 222245100800 is an apocalyptic number.

22245100800 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 22245100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39530771952).

22245100800 is an abundant number, since it is smaller than the sum of its proper divisors (56816443104).

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

22245100800 is a wasteful number, since it uses less digits than its factorization.

22245100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89165 (or 89146 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 22245100800 in words is "twenty-two billion, two hundred forty-five million, one hundred thousand, eight hundred".