Search a number
-
+
226251720 = 23325628477
BaseRepresentation
bin11010111110001…
…01001111001000
3120202201210000100
431133011033020
5430410023340
634241205400
75415052002
oct1537051710
9522653010
10226251720
111067932a2
1263930860
1337b49176
1422097372
1514ce2830
hexd7c53c8

226251720 has 48 divisors (see below), whose sum is σ = 735319260. Its totient is φ = 60333696.

The previous prime is 226251709. The next prime is 226251721. The reversal of 226251720 is 27152622.

226251720 is a `hidden beast` number, since 2 + 2 + 625 + 17 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219810276 + 6441444 = 14826^2 + 2538^2 .

It is not an unprimeable number, because it can be changed into a prime (226251721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313879 + ... + 314598.

Almost surely, 2226251720 is an apocalyptic number.

226251720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226251720 is an abundant number, since it is smaller than the sum of its proper divisors (509067540).

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

226251720 is a wasteful number, since it uses less digits than its factorization.

226251720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628494 (or 628487 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 226251720 is about 15041.6661311173. Note that the first 3 decimals coincide. The cubic root of 226251720 is about 609.3459979886.

The spelling of 226251720 in words is "two hundred twenty-six million, two hundred fifty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 628477 1256954 1885431 2513908 3142385 3770862 5027816 5656293 6284770 7541724 9427155 11312586 12569540 15083448 18854310 22625172 25139080 28281465 37708620 45250344 56562930 75417240 113125860 226251720