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226408600 = 235211102913
BaseRepresentation
bin11010111111010…
…11100010011000
3120210000202012201
431133223202120
5430430033400
634244415544
75416304245
oct1537534230
9523022181
10226408600
11106890150
12639a75b4
1337ba26b2
14220d85cc
1514d2406a
hexd7eb898

226408600 has 48 divisors (see below), whose sum is σ = 574260120. Its totient is φ = 82329600.

The previous prime is 226408583. The next prime is 226408603. The reversal of 226408600 is 6804622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226408603) 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, 49257 + ... + 53656.

Almost surely, 2226408600 is an apocalyptic number.

226408600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226408600 is an abundant number, since it is smaller than the sum of its proper divisors (347851520).

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

226408600 is a wasteful number, since it uses less digits than its factorization.

226408600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102940 (or 102931 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 226408600 is about 15046.8800752847. The cubic root of 226408600 is about 609.4868029794.

The spelling of 226408600 in words is "two hundred twenty-six million, four hundred eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 102913 205826 411652 514565 823304 1029130 1132043 2058260 2264086 2572825 4116520 4528172 5145650 5660215 9056344 10291300 11320430 20582600 22640860 28301075 45281720 56602150 113204300 226408600