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206664352 = 25311811151
BaseRepresentation
bin11000101000101…
…11001010100000
3112101212122012021
430110113022200
5410401224402
632301311224
75056421656
oct1424271240
9471778167
10206664352
11a6724a94
1259265514
1333a7b7cb
141d638dd6
1513223d37
hexc5172a0

206664352 has 48 divisors (see below), whose sum is σ = 422682624. Its totient is φ = 99360000.

The previous prime is 206664323. The next prime is 206664391. The reversal of 206664352 is 253466602.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 178977 + ... + 180127.

It is an arithmetic number, because the mean of its divisors is an integer number (8805888).

Almost surely, 2206664352 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 206664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

206664352 is an abundant number, since it is smaller than the sum of its proper divisors (216018272).

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

206664352 is a wasteful number, since it uses less digits than its factorization.

206664352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 206664352 is about 14375.8252632675. The cubic root of 206664352 is about 591.2282675973.

The spelling of 206664352 in words is "two hundred six million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 181 248 362 496 724 992 1151 1448 2302 2896 4604 5611 5792 9208 11222 18416 22444 35681 36832 44888 71362 89776 142724 179552 208331 285448 416662 570896 833324 1141792 1666648 3333296 6458261 6666592 12916522 25833044 51666088 103332176 206664352