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22220430624 = 253472533301
BaseRepresentation
bin10100101100011100…
…001101110100100000
32010100120122211110000
4110230130031310200
5331001412234444
614112524540000
71414433354400
oct245434156440
963316584400
1022220430624
119472943457
1243816b1600
132131710702
14110b160800
158a0b71469
hex52c70dd20

22220430624 has 360 divisors, whose sum is σ = 77476787388. Its totient is φ = 6227020800.

The previous prime is 22220430611. The next prime is 22220430679. The reversal of 22220430624 is 42603402222.

It is a happy number.

22220430624 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 0 + 4 + 30 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22180740624 + 39690000 = 148932^2 + 6300^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6729774 + ... + 6733074.

Almost surely, 222220430624 is an apocalyptic number.

22220430624 is a gapful number since it is divisible by the number (24) 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 22220430624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38738393694).

22220430624 is an abundant number, since it is smaller than the sum of its proper divisors (55256356764).

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

22220430624 is a wasteful number, since it uses less digits than its factorization.

22220430624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22220430624 its reverse (42603402222), we get a palindrome (64823832846).

The spelling of 22220430624 in words is "twenty-two billion, two hundred twenty million, four hundred thirty thousand, six hundred twenty-four".