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206664354 = 232132411657
BaseRepresentation
bin11000101000101…
…11001010100010
3112101212122012100
430110113022202
5410401224404
632301311230
75056421661
oct1424271242
9471778170
10206664354
11a6724a96
1259265516
1333a7b800
141d638dd8
1513223d39
hexc5172a2

206664354 has 72 divisors (see below), whose sum is σ = 496992132. Its totient is φ = 62000640.

The previous prime is 206664323. The next prime is 206664391. The reversal of 206664354 is 453466602.

It can be written as a sum of positive squares in 6 ways, for example, as 81225 + 206583129 = 285^2 + 14373^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123894 + ... + 125550.

Almost surely, 2206664354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206664354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248496066).

206664354 is an abundant number, since it is smaller than the sum of its proper divisors (290327778).

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

206664354 is a wasteful number, since it uses less digits than its factorization.

206664354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 206664354 is about 14375.8253328287. The cubic root of 206664354 is about 591.2282695045.

The spelling of 206664354 in words is "two hundred six million, six hundred sixty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 169 234 246 338 369 507 533 738 1014 1066 1521 1599 1657 3042 3198 3314 4797 4971 6929 9594 9942 13858 14913 20787 21541 29826 41574 43082 62361 64623 67937 124722 129246 135874 193869 203811 280033 387738 407622 560066 611433 840099 883181 1222866 1680198 1766362 2520297 2649543 5040594 5299086 7948629 11481353 15897258 22962706 34444059 68888118 103332177 206664354