Search a number
-
+
226964448 = 2532788071
BaseRepresentation
bin11011000011100…
…11001111100000
3120211001222200200
431201303033200
5431100330243
634304345200
75424110634
oct1541631740
9524058620
10226964448
1110712a827
1264015200
13380386b9
1422200dc4
1514dd3ad3
hexd8733e0

226964448 has 36 divisors (see below), whose sum is σ = 645430968. Its totient is φ = 75654720.

The previous prime is 226964431. The next prime is 226964477. The reversal of 226964448 is 844469622.

226964448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 393748 + ... + 394323.

It is an arithmetic number, because the mean of its divisors is an integer number (17928638).

Almost surely, 2226964448 is an apocalyptic number.

It is an amenable number.

226964448 is an abundant number, since it is smaller than the sum of its proper divisors (418466520).

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

226964448 is a wasteful number, since it uses less digits than its factorization.

226964448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788087 (or 788076 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 226964448 is about 15065.3392925616. The cubic root of 226964448 is about 609.9851720842.

The spelling of 226964448 in words is "two hundred twenty-six million, nine hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 788071 1576142 2364213 3152284 4728426 6304568 7092639 9456852 12609136 14185278 18913704 25218272 28370556 37827408 56741112 75654816 113482224 226964448