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22235010000 = 243547113937
BaseRepresentation
bin10100101101010011…
…110101001111010000
32010101121002112120220
4110231103311033100
5331014130310000
614114205233040
71415001316020
oct245523651720
963347075526
1022235010000
1194800a1125
124386562780
132134746768
14110d077a80
158a20a11a0
hex52d4f53d0

22235010000 has 400 divisors, whose sum is σ = 82845780864. Its totient is φ = 5031936000.

The previous prime is 22235009989. The next prime is 22235010001. The reversal of 22235010000 is 1053222.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22235010001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23729532 + ... + 23730468.

Almost surely, 222235010000 is an apocalyptic number.

22235010000 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 22235010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41422890432).

22235010000 is an abundant number, since it is smaller than the sum of its proper divisors (60610770864).

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

22235010000 is a wasteful number, since it uses less digits than its factorization.

22235010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 22235010000 its reverse (1053222), we get a palindrome (22236063222).

The spelling of 22235010000 in words is "twenty-two billion, two hundred thirty-five million, ten thousand".