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206226460 = 225117312841
BaseRepresentation
bin11000100101011…
…00010000011100
3112101001101112001
430102230100130
5410243221320
632244052044
75052616216
oct1422542034
9471041461
10206226460
11a6455aa0
1259094024
13339573bb
141d5635b6
151318920a
hexc4ac41c

206226460 has 48 divisors (see below), whose sum is σ = 478955232. Its totient is φ = 73958400.

The previous prime is 206226457. The next prime is 206226467. The reversal of 206226460 is 64622602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206226467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9640 + ... + 22480.

It is an arithmetic number, because the mean of its divisors is an integer number (9978234).

Almost surely, 2206226460 is an apocalyptic number.

206226460 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 206226460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239477616).

206226460 is an abundant number, since it is smaller than the sum of its proper divisors (272728772).

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

206226460 is a wasteful number, since it uses less digits than its factorization.

206226460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12934 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 206226460 is about 14360.5870353548. The cubic root of 206226460 is about 590.8103964700.

The spelling of 206226460 in words is "two hundred six million, two hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 12841 16060 25682 51364 64205 128410 141251 256820 282502 565004 706255 937393 1412510 1874786 2825020 3749572 4686965 9373930 10311323 18747860 20622646 41245292 51556615 103113230 206226460