Search a number
-
+
226563444 = 22326293429
BaseRepresentation
bin11011000000100…
…01010101110100
3120210022121121200
431200101111310
5431000012234
634252012500
75420520552
oct1540212564
9523277550
10226563444
11106986518
1263a61130
1337c28013
1422138bd2
1514d54d99
hexd811574

226563444 has 18 divisors (see below), whose sum is σ = 572702130. Its totient is φ = 75521136.

The previous prime is 226563433. The next prime is 226563451. The reversal of 226563444 is 444365622.

It can be written as a sum of positive squares in only one way, i.e., 211353444 + 15210000 = 14538^2 + 3900^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×2265634442 = 102661988314282272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6293429 = 226563444 / (2 + 2 + 6 + 5 + 6 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 226563399 and 226563408.

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, 3146679 + ... + 3146750.

It is an arithmetic number, because the mean of its divisors is an integer number (31816785).

Almost surely, 2226563444 is an apocalyptic number.

It is an amenable number.

226563444 is an abundant number, since it is smaller than the sum of its proper divisors (346138686).

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

226563444 is a wasteful number, since it uses less digits than its factorization.

226563444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293439 (or 6293434 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 226563444 is about 15052.0245814309. The cubic root of 226563444 is about 609.6257168249.

The spelling of 226563444 in words is "two hundred twenty-six million, five hundred sixty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6293429 12586858 18880287 25173716 37760574 56640861 75521148 113281722 226563444