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226189820 = 22523221379
BaseRepresentation
bin11010111101101…
…10000111111100
3120202121122002202
431132312013330
5430401033240
634240011032
75414403353
oct1536660774
9522548082
10226189820
1110675083a
1263900a78
1337b26c3c
142207c99a
1514cce315
hexd7b61fc

226189820 has 36 divisors (see below), whose sum is σ = 496571880. Its totient is φ = 86538144.

The previous prime is 226189819. The next prime is 226189823. The reversal of 226189820 is 28981622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226189823) 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, 110 + ... + 21269.

Almost surely, 2226189820 is an apocalyptic number.

226189820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226189820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248285940).

226189820 is an abundant number, since it is smaller than the sum of its proper divisors (270382060).

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

226189820 is a wasteful number, since it uses less digits than its factorization.

226189820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21434 (or 21409 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 226189820 is about 15039.6083725608. The cubic root of 226189820 is about 609.2904227829.

The spelling of 226189820 in words is "two hundred twenty-six million, one hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 2116 2645 5290 10580 21379 42758 85516 106895 213790 427580 491717 983434 1966868 2458585 4917170 9834340 11309491 22618982 45237964 56547455 113094910 226189820