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206425632 = 253736269
BaseRepresentation
bin11000100110111…
…00111000100000
3112101102111201210
430103130320200
5410321110012
632252230120
75054406000
oct1423347040
9471374653
10206425632
11a65816a6
125916b340
13339c6c5a
141d5b6000
15131c823c
hexc4dce20

206425632 has 96 divisors (see below), whose sum is σ = 632016000. Its totient is φ = 58969344.

The previous prime is 206425591. The next prime is 206425649. The reversal of 206425632 is 236524602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2064256322 = 85223083093198848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 206425632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29794 + ... + 36062.

It is an arithmetic number, because the mean of its divisors is an integer number (6583500).

Almost surely, 2206425632 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 206425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008000).

206425632 is an abundant number, since it is smaller than the sum of its proper divisors (425590368).

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

206425632 is an equidigital number, since it uses as much as digits as its factorization.

206425632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 206425632 is about 14367.5200365268. The cubic root of 206425632 is about 591.0005353851. Note that the first 3 decimals are identical.

The spelling of 206425632 in words is "two hundred six million, four hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4704 5488 6269 8232 10976 12538 16464 18807 25076 32928 37614 43883 50152 75228 87766 100304 131649 150456 175532 200608 263298 300912 307181 351064 526596 601824 614362 702128 921543 1053192 1228724 1404256 1843086 2106384 2150267 2457448 3686172 4212768 4300534 4914896 6450801 7372344 8601068 9829792 12901602 14744688 17202136 25803204 29489376 34404272 51606408 68808544 103212816 206425632