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204212814 = 231323891279
BaseRepresentation
bin11000010110000…
…00101001001110
3112020021002022120
430023000221032
5404234302224
632132553410
75026531431
oct1413005116
9466232276
10204212814
11a5300123
1258482866
13334009b0
141d19b818
1512ddc779
hexc2c0a4e

204212814 has 64 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 59380992.

The previous prime is 204212803. The next prime is 204212819. The reversal of 204212814 is 418212402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204212819) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159027 + ... + 160305.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2204212814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204212814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

204212814 is an abundant number, since it is smaller than the sum of its proper divisors (260273586).

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

204212814 is a wasteful number, since it uses less digits than its factorization.

204212814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 204212814 is about 14290.3048952778. The cubic root of 204212814 is about 588.8811641538.

The spelling of 204212814 in words is "two hundred four million, two hundred twelve thousand, eight hundred fourteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 89 138 178 267 299 534 598 897 1157 1279 1794 2047 2314 2558 3471 3837 4094 6141 6942 7674 12282 16627 26611 29417 33254 49881 53222 58834 79833 88251 99762 113831 159666 176502 227662 341493 382421 682986 764842 1147263 1479803 2294526 2618113 2959606 4439409 5236226 7854339 8878818 15708678 34035469 68070938 102106407 204212814