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226228821 = 3713828677
BaseRepresentation
bin11010111101111…
…11101001010101
3120202200121121020
431132333221111
5430403310241
634240511353
75414625150
oct1536775125
9522617536
10226228821
11106778075
126391b559
1337b3b910
142208cc97
1514cdab66
hexd7bfa55

226228821 has 16 divisors (see below), whose sum is σ = 371247744. Its totient is φ = 119329344.

The previous prime is 226228811. The next prime is 226228859. The reversal of 226228821 is 128822622.

It is not a de Polignac number, because 226228821 - 213 = 226220629 is a prime.

It is a super-3 number, since 3×2262288213 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226228811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414066 + ... + 414611.

It is an arithmetic number, because the mean of its divisors is an integer number (23202984).

Almost surely, 2226228821 is an apocalyptic number.

226228821 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226228821 is a deficient number, since it is larger than the sum of its proper divisors (145018923).

226228821 is a wasteful number, since it uses less digits than its factorization.

226228821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828700.

The product of its digits is 12288, while the sum is 33.

The square root of 226228821 is about 15040.9049262337. The cubic root of 226228821 is about 609.3254399352.

The spelling of 226228821 in words is "two hundred twenty-six million, two hundred twenty-eight thousand, eight hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 273 828677 2486031 5800739 10772801 17402217 32318403 75409607 226228821