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22233666240 = 26335171931257
BaseRepresentation
bin10100101101001110…
…101101001011000000
32010101111120021022000
4110231032231023000
5331013304304430
614114120344000
71414654021242
oct245516551300
963344507260
1022233666240
11947a363585
124386015000
132134395c36
14110cc08092
158a1dd7e60
hex52d3ad2c0

22233666240 has 896 divisors, whose sum is σ = 90591436800. Its totient is φ = 5096079360.

The previous prime is 22233666239. The next prime is 22233666281. The reversal of 22233666240 is 4266633222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22233666195 and 22233666204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86512192 + ... + 86512448.

Almost surely, 222233666240 is an apocalyptic number.

22233666240 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 22233666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45295718400).

22233666240 is an abundant number, since it is smaller than the sum of its proper divisors (68357770560).

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

22233666240 is a wasteful number, since it uses less digits than its factorization.

22233666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 22233666240 in words is "twenty-two billion, two hundred thirty-three million, six hundred sixty-six thousand, two hundred forty".