[go: up one dir, main page]

Search a number
-
+
22320560 = 245279007
BaseRepresentation
bin101010100100…
…1010110110000
31120000000001102
41111021112300
521203224220
62114223532
7360502343
oct125112660
946000042
1022320560
1111665849
127584ba8
134816742
142d7045a
151e5d775
hex15495b0

22320560 has 20 divisors (see below), whose sum is σ = 51895488. Its totient is φ = 8928192.

The previous prime is 22320559. The next prime is 22320563. The reversal of 22320560 is 6502322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×223205603 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22320563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139424 + ... + 139583.

Almost surely, 222320560 is an apocalyptic number.

22320560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22320560 is an abundant number, since it is smaller than the sum of its proper divisors (29574928).

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

22320560 is a wasteful number, since it uses less digits than its factorization.

22320560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279020 (or 279014 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 22320560 is about 4724.4639907613. The cubic root of 22320560 is about 281.5583180171.

Adding to 22320560 its reverse (6502322), we get a palindrome (28822882).

The spelling of 22320560 in words is "twenty-two million, three hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 279007 558014 1116028 1395035 2232056 2790070 4464112 5580140 11160280 22320560