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36668214 = 23511193
BaseRepresentation
bin1000101111100…
…0001100110110
32112222221100000
42023320030312
533341340324
63345532130
7623450262
oct213701466
975887300
1036668214
1119775410
1210344046
13779b18b
144c270a2
1533449c9
hex22f8336

36668214 has 96 divisors (see below), whose sum is σ = 94872960. Its totient is φ = 10526760.

The previous prime is 36668189. The next prime is 36668237. The reversal of 36668214 is 41286663.

36668214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1929897 + ... + 1929915.

It is an arithmetic number, because the mean of its divisors is an integer number (988260).

Almost surely, 236668214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36668214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47436480).

36668214 is an abundant number, since it is smaller than the sum of its proper divisors (58204746).

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

36668214 is an equidigital number, since it uses as much as digits as its factorization.

36668214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 35 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 36668214 is about 6055.4284736920. The cubic root of 36668214 is about 332.2231709453.

The spelling of 36668214 in words is "thirty-six million, six hundred sixty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 243 297 342 361 418 486 513 594 627 722 891 1026 1083 1254 1539 1782 1881 2166 2673 3078 3249 3762 3971 4617 5346 5643 6498 6859 7942 9234 9747 11286 11913 13718 16929 19494 20577 23826 29241 33858 35739 41154 50787 58482 61731 71478 75449 87723 101574 107217 123462 150898 175446 185193 214434 226347 321651 370386 452694 555579 643302 679041 964953 1111158 1358082 1666737 1929906 2037123 3333474 4074246 6111369 12222738 18334107 36668214