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226628541 = 3225180949
BaseRepresentation
bin11011000001000…
…01001110111101
3120210102220220200
431200201032331
5431004103131
634253234113
75421211416
oct1540411675
9523386820
10226628541
11106a20417
1263a92939
1337c4b839
142215480d
1514d692e6
hexd8213bd

226628541 has 6 divisors (see below), whose sum is σ = 327352350. Its totient is φ = 151085688.

The previous prime is 226628527. The next prime is 226628543. The reversal of 226628541 is 145826622.

It is a happy number.

226628541 is a `hidden beast` number, since 2 + 26 + 628 + 5 + 4 + 1 = 666.

226628541 is digitally balanced in base 2, 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., 226622916 + 5625 = 15054^2 + 75^2 .

It is not a de Polignac number, because 226628541 - 25 = 226628509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226628496 and 226628505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226628543) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12590466 + ... + 12590483.

It is an arithmetic number, because the mean of its divisors is an integer number (54558725).

Almost surely, 2226628541 is an apocalyptic number.

It is an amenable number.

226628541 is a deficient number, since it is larger than the sum of its proper divisors (100723809).

226628541 is a wasteful number, since it uses less digits than its factorization.

226628541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25180955 (or 25180952 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 226628541 is about 15054.1868262620. The cubic root of 226628541 is about 609.6840978305.

The spelling of 226628541 in words is "two hundred twenty-six million, six hundred twenty-eight thousand, five hundred forty-one".

Divisors: 1 3 9 25180949 75542847 226628541