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226644404 = 22721011072
BaseRepresentation
bin11011000001001…
…01000110110100
3120210110201200012
431200211012310
5431010110104
634253435352
75421305600
oct1540450664
9523421605
10226644404
11106a31328
1263a9bb58
1337c55b1c
142215a500
1514d6dd6e
hexd8251b4

226644404 has 54 divisors (see below), whose sum is σ = 470346786. Its totient is φ = 95272800.

The previous prime is 226644403. The next prime is 226644413. The reversal of 226644404 is 404446622.

It can be written as a sum of positive squares in only one way, i.e., 224400400 + 2244004 = 14980^2 + 1498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226644403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2118119 + ... + 2118225.

Almost surely, 2226644404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226644404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235173393).

226644404 is an abundant number, since it is smaller than the sum of its proper divisors (243702382).

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

226644404 is a wasteful number, since it uses less digits than its factorization.

226644404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 226644404 is about 15054.7136804391. The cubic root of 226644404 is about 609.6983225661.

The spelling of 226644404 in words is "two hundred twenty-six million, six hundred forty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 101 107 196 202 214 404 428 707 749 1414 1498 2828 2996 4949 5243 9898 10486 10807 11449 19796 20972 21614 22898 43228 45796 75649 80143 151298 160286 302596 320572 529543 561001 1059086 1122002 1156349 2118172 2244004 2312698 4625396 8094443 16188886 32377772 56661101 113322202 226644404