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226144100 = 225271324851
BaseRepresentation
bin11010111101010…
…10111101100100
3120202112022101102
431132222331210
5430343102400
634235015232
75414123150
oct1536527544
9522468342
10226144100
1110671a456
126389a518
1337b0c1a0
142206a060
1514cc09d5
hexd7aaf64

226144100 has 72 divisors (see below), whose sum is σ = 604003008. Its totient is φ = 71568000.

The previous prime is 226144091. The next prime is 226144123. The reversal of 226144100 is 1441622.

It is a super-2 number, since 2×2261441002 = 102282307929620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3326 + ... + 21525.

Almost surely, 2226144100 is an apocalyptic number.

226144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226144100 is an abundant number, since it is smaller than the sum of its proper divisors (377858908).

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

226144100 is a wasteful number, since it uses less digits than its factorization.

226144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24885 (or 24878 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 226144100 is about 15038.0883093563. The cubic root of 226144100 is about 609.2493678329.

Adding to 226144100 its reverse (1441622), we get a palindrome (227585722).

The spelling of 226144100 in words is "two hundred twenty-six million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 24851 49702 99404 124255 173957 248510 323063 347914 497020 621275 646126 695828 869785 1242550 1292252 1615315 1739570 2261441 2485100 3230630 3479140 4348925 4522882 6461260 8076575 8697850 9045764 11307205 16153150 17395700 22614410 32306300 45228820 56536025 113072050 226144100