Search a number
-
+
22320520 = 235593941
BaseRepresentation
bin101010100100…
…1010110001000
31112222222222221
41111021112020
521203224040
62114223424
7360502255
oct125112610
945888887
1022320520
1111665812
127584b74
134816711
142d7042c
151e5d74a
hex1549588

22320520 has 32 divisors (see below), whose sum is σ = 50359320. Its totient is φ = 8903680.

The previous prime is 22320503. The next prime is 22320559. The reversal of 22320520 is 2502322.

It can be written as a sum of positive squares in 4 ways, for example, as 19766916 + 2553604 = 4446^2 + 1598^2 .

It is a super-3 number, since 3×223205203 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22320494 and 22320503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23250 + ... + 24190.

Almost surely, 222320520 is an apocalyptic number.

22320520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320520 is an abundant number, since it is smaller than the sum of its proper divisors (28038800).

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

22320520 is a wasteful number, since it uses less digits than its factorization.

22320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 22320520 is about 4724.4597574749. The cubic root of 22320520 is about 281.5581498263.

Adding to 22320520 its reverse (2502322), we get a palindrome (24822842).

The spelling of 22320520 in words is "twenty-two million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 593 941 1186 1882 2372 2965 3764 4705 4744 5930 7528 9410 11860 18820 23720 37640 558013 1116026 2232052 2790065 4464104 5580130 11160260 22320520