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206226132 = 223714916477
BaseRepresentation
bin11000100101011…
…00001011010100
3112101001101001220
430102230023110
5410243214012
632244050340
75052615240
oct1422541324
9471041056
10206226132
11a6455822
12590939b0
13339571c8
141d563420
151318908c
hexc4ac2d4

206226132 has 48 divisors (see below), whose sum is σ = 553660800. Its totient is φ = 58522752.

The previous prime is 206226131. The next prime is 206226157. The reversal of 206226132 is 231622602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206226131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4278 + ... + 20754.

It is an arithmetic number, because the mean of its divisors is an integer number (11534600).

Almost surely, 2206226132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206226132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276830400).

206226132 is an abundant number, since it is smaller than the sum of its proper divisors (347434668).

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

206226132 is a wasteful number, since it uses less digits than its factorization.

206226132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16640 (or 16638 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 206226132 is about 14360.5756152043. The cubic root of 206226132 is about 590.8100832449.

Adding to 206226132 its reverse (231622602), we get a palindrome (437848734).

The spelling of 206226132 in words is "two hundred six million, two hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 3129 4172 6258 12516 16477 32954 49431 65908 98862 115339 197724 230678 346017 461356 692034 1384068 2455073 4910146 7365219 9820292 14730438 17185511 29460876 34371022 51556533 68742044 103113066 206226132