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208000452 = 223112314621
BaseRepresentation
bin11000110010111…
…01010111000100
3112111101111222110
430121131113010
5411222003302
632350101020
75103655212
oct1431352704
9474344873
10208000452
11a7457900
12597aa770
13341289ba
141d8a5cb2
15133d9b6c
hexc65d5c4

208000452 has 72 divisors (see below), whose sum is σ = 550794496. Its totient is φ = 60984000.

The previous prime is 208000451. The next prime is 208000453. The reversal of 208000452 is 254000802.

208000452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208000451) and next prime (208000453).

It is not an unprimeable number, because it can be changed into a prime (208000451) 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, 42702 + ... + 47322.

Almost surely, 2208000452 is an apocalyptic number.

208000452 is a gapful number since it is divisible by the number (22) 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 208000452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275397248).

208000452 is an abundant number, since it is smaller than the sum of its proper divisors (342794044).

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

208000452 is a wasteful number, since it uses less digits than its factorization.

208000452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 208000452 is about 14422.2207721280. The cubic root of 208000452 is about 592.4996428633.

The spelling of 208000452 in words is "two hundred eight million, four hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 682 726 1023 1364 1452 2046 3751 4092 4621 7502 9242 11253 13863 15004 18484 22506 27726 45012 50831 55452 101662 143251 152493 203324 286502 304986 429753 559141 573004 609972 859506 1118282 1575761 1677423 1719012 2236564 3151522 3354846 4727283 6303044 6709692 9454566 17333371 18909132 34666742 52000113 69333484 104000226 208000452