Search a number
-
+
22243221504 = 213327247131
BaseRepresentation
bin10100101101110011…
…001010000000000000
32010102011112201122200
4110231303022000000
5331023231042004
614115101233200
71415131156200
oct245563120000
963364481580
1022243221504
11948479a599
124389262800
13213636023a
1411101b4400
158a2b74239
hex52dcca000

22243221504 has 504 divisors, whose sum is σ = 76917791808. Its totient is φ = 6172508160.

The previous prime is 22243221479. The next prime is 22243221523. The reversal of 22243221504 is 40512234222.

22243221504 is a `hidden beast` number, since 222 + 432 + 2 + 1 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169795519 + ... + 169795649.

Almost surely, 222243221504 is an apocalyptic number.

22243221504 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 22243221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38458895904).

22243221504 is an abundant number, since it is smaller than the sum of its proper divisors (54674570304).

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

22243221504 is a wasteful number, since it uses less digits than its factorization.

22243221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22243221504 its reverse (40512234222), we get a palindrome (62755455726).

The spelling of 22243221504 in words is "twenty-two billion, two hundred forty-three million, two hundred twenty-one thousand, five hundred four".