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22201330032 = 24327283167227
BaseRepresentation
bin10100101011010011…
…010110100101110000
32010022020201102100200
4110223103112211300
5330432020030112
614111003315200
71414112122500
oct245323264560
963266642320
1022201330032
119463087942
12437721bb00
13212a78379b
1411087cba00
1589e14bcdc
hex52b4d6970

22201330032 has 360 divisors, whose sum is σ = 73910019456. Its totient is φ = 6201844992.

The previous prime is 22201330001. The next prime is 22201330033. The reversal of 22201330032 is 23003310222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22201329987 and 22201330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201330033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97803103 + ... + 97803329.

Almost surely, 222201330032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36955009728).

22201330032 is an abundant number, since it is smaller than the sum of its proper divisors (51708689424).

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

22201330032 is a wasteful number, since it uses less digits than its factorization.

22201330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22201330032 its reverse (23003310222), we get a palindrome (45204640254).

The spelling of 22201330032 in words is "twenty-two billion, two hundred one million, three hundred thirty thousand, thirty-two".