Search a number
-
+
13225536 = 263222961
BaseRepresentation
bin110010011100…
…111001000000
3220212221000200
4302130321000
511341204121
61151245200
7220262262
oct62347100
926787020
1013225536
1175135a5
124519800
132980a7c
141a83b32
151263a26
hexc9ce40

13225536 has 42 divisors (see below), whose sum is σ = 37910262. Its totient is φ = 4408320.

The previous prime is 13225517. The next prime is 13225549. The reversal of 13225536 is 63552231.

It can be written as a sum of positive squares in only one way, i.e., 12110400 + 1115136 = 3480^2 + 1056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10905 + ... + 12056.

Almost surely, 213225536 is an apocalyptic number.

13225536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13225536 is an abundant number, since it is smaller than the sum of its proper divisors (24684726).

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

13225536 is a wasteful number, since it uses less digits than its factorization.

13225536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22979 (or 22966 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 13225536 is about 3636.6930032655. The cubic root of 13225536 is about 236.4854509984.

Adding to 13225536 its reverse (63552231), we get a palindrome (76777767).

The spelling of 13225536 in words is "thirteen million, two hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22961 45922 68883 91844 137766 183688 206649 275532 367376 413298 551064 734752 826596 1102128 1469504 1653192 2204256 3306384 4408512 6612768 13225536