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226683136 = 289412
BaseRepresentation
bin11011000001011…
…10100100000000
3120210112200210201
431200232210000
5431012330021
634254334544
75421526531
oct1540564400
9523480721
10226683136
11106a58439
1263aba454
1337c6a644
142216a688
1514d7a591
hexd82e900

226683136 has 27 divisors (see below), whose sum is σ = 452962153. Its totient is φ = 113221120.

The previous prime is 226683131. The next prime is 226683139. The reversal of 226683136 is 631386622.

The square root of 226683136 is 15056.

It is a perfect power (a square), and thus also a powerful number.

226683136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 140564736 + 86118400 = 11856^2 + 9280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226683095 and 226683104.

It is not an unprimeable number, because it can be changed into a prime (226683131) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 240426 + ... + 241366.

Almost surely, 2226683136 is an apocalyptic number.

226683136 is the 15056-th square number.

It is an amenable number.

226683136 is a deficient number, since it is larger than the sum of its proper divisors (226279017).

226683136 is an frugal number, since it uses more digits than its factorization.

226683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 943 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The cubic root of 226683136 is about 609.7330516982.

The spelling of 226683136 in words is "two hundred twenty-six million, six hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 941 1882 3764 7528 15056 30112 60224 120448 240896 885481 1770962 3541924 7083848 14167696 28335392 56670784 113341568 226683136