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11225664 = 263219489
BaseRepresentation
bin101010110100…
…101001000000
3210010022201100
4222310221000
510333210124
61040334400
7164262612
oct52645100
923108640
1011225664
11637800a
123914400
132430708
1416c2db2
15ebb1c9
hexab4a40

11225664 has 42 divisors (see below), whose sum is σ = 32177990. Its totient is φ = 3741696.

The previous prime is 11225653. The next prime is 11225671. The reversal of 11225664 is 46652211.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 4875264 = 2520^2 + 2208^2 .

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, 9169 + ... + 10320.

Almost surely, 211225664 is an apocalyptic number.

It is an amenable number.

11225664 is an abundant number, since it is smaller than the sum of its proper divisors (20952326).

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

11225664 is a wasteful number, since it uses less digits than its factorization.

11225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19507 (or 19494 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 11225664 is about 3350.4722055257. The cubic root of 11225664 is about 223.9085511061.

Adding to 11225664 its reverse (46652211), we get a palindrome (57877875).

It can be divided in two parts, 1122 and 5664, that added together give a triangular number (6786 = T116).

The spelling of 11225664 in words is "eleven million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19489 38978 58467 77956 116934 155912 175401 233868 311824 350802 467736 623648 701604 935472 1247296 1403208 1870944 2806416 3741888 5612832 11225664