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226546100 = 225211205951
BaseRepresentation
bin11011000000011…
…01000110110100
3120210021201211022
431200031012310
5430443433400
634251400312
75420416154
oct1540150664
9523251738
10226546100
11106974490
1263a53098
1337c20161
1422132764
1514d4eb85
hexd80d1b4

226546100 has 36 divisors (see below), whose sum is σ = 536299008. Its totient is φ = 82380000.

The previous prime is 226546091. The next prime is 226546121. The reversal of 226546100 is 1645622.

It is a self number, because there is not a number n which added to its sum of digits gives 226546100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101876 + ... + 104075.

Almost surely, 2226546100 is an apocalyptic number.

226546100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226546100 is an abundant number, since it is smaller than the sum of its proper divisors (309752908).

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

226546100 is a wasteful number, since it uses less digits than its factorization.

226546100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205976 (or 205969 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 226546100 is about 15051.4484352836. The cubic root of 226546100 is about 609.6101603019.

The spelling of 226546100 in words is "two hundred twenty-six million, five hundred forty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 205951 411902 823804 1029755 2059510 2265461 4119020 4530922 5148775 9061844 10297550 11327305 20595100 22654610 45309220 56636525 113273050 226546100