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226153476 = 223215740013
BaseRepresentation
bin11010111101011…
…01010000000100
3120202112210020200
431132231100010
5430343402401
634235130500
75414162403
oct1536552004
9522483220
10226153476
111067264aa
12638a3a30
1337b13533
142206d63a
1514cc3686
hexd7ad404

226153476 has 36 divisors (see below), whose sum is σ = 575321292. Its totient is φ = 74902464.

The previous prime is 226153471. The next prime is 226153573. The reversal of 226153476 is 674351622.

226153476 is a `hidden beast` number, since 2 + 2 + 615 + 34 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 144720900 = 9024^2 + 12030^2 .

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

It is a super-2 number, since 2×2261534762 = 102290789413765152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226153476.

It is not an unprimeable number, because it can be changed into a prime (226153471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14355 + ... + 25658.

It is an arithmetic number, because the mean of its divisors is an integer number (15981147).

Almost surely, 2226153476 is an apocalyptic number.

It is an amenable number.

226153476 is an abundant number, since it is smaller than the sum of its proper divisors (349167816).

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

226153476 is a wasteful number, since it uses less digits than its factorization.

226153476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40180 (or 40175 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 226153476 is about 15038.4000478774. The cubic root of 226153476 is about 609.2577876018.

The spelling of 226153476 in words is "two hundred twenty-six million, one hundred fifty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 40013 80026 120039 160052 240078 360117 480156 720234 1440468 6282041 12564082 18846123 25128164 37692246 56538369 75384492 113076738 226153476