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206388204 = 223113121627
BaseRepresentation
bin11000100110100…
…11101111101100
3112101100121101120
430103103233230
5410313410304
632251340540
75054161611
oct1423235754
9471317346
10206388204
11a6556570
1259151750
13339b2bc9
141d5a6508
15131bc0d9
hexc4d3bec

206388204 has 72 divisors (see below), whose sum is σ = 543178944. Its totient is φ = 60487200.

The previous prime is 206388199. The next prime is 206388209. The reversal of 206388204 is 402883602.

It is an interprime number because it is at equal distance from previous prime (206388199) and next prime (206388209).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (206388209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126039 + ... + 127665.

It is an arithmetic number, because the mean of its divisors is an integer number (7544152).

Almost surely, 2206388204 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 206388204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271589472).

206388204 is an abundant number, since it is smaller than the sum of its proper divisors (336790740).

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

206388204 is a wasteful number, since it uses less digits than its factorization.

206388204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 206388204 is about 14366.2174562409. The cubic root of 206388204 is about 590.9648141993.

The spelling of 206388204 in words is "two hundred six million, three hundred eighty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 961 1023 1364 1627 1922 2046 2883 3254 3844 4092 4881 5766 6508 9762 10571 11532 17897 19524 21142 31713 35794 42284 50437 53691 63426 71588 100874 107382 126852 151311 201748 214764 302622 554807 605244 1109614 1563547 1664421 2219228 3127094 3328842 4690641 6254188 6657684 9381282 17199017 18762564 34398034 51597051 68796068 103194102 206388204