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36221406 = 23132967239
BaseRepresentation
bin1000101000101…
…1000111011110
32112011020102120
42022023013132
533233041111
63332203410
7616606524
oct212130736
975136376
1036221406
111949a751
1210169566
1376729b0
144b4c314
1532a7406
hex228b1de

36221406 has 64 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 10555776.

The previous prime is 36221401. The next prime is 36221413. The reversal of 36221406 is 60412263.

36221406 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 not an unprimeable number, because it can be changed into a prime (36221401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 151435 + ... + 151673.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 236221406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36221406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

36221406 is an abundant number, since it is smaller than the sum of its proper divisors (46031394).

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

36221406 is a wasteful number, since it uses less digits than its factorization.

36221406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36221406 is about 6018.4222184888. The cubic root of 36221406 is about 330.8682553315.

Adding to 36221406 its reverse (60412263), we get a palindrome (96633669).

The spelling of 36221406 in words is "thirty-six million, two hundred twenty-one thousand, four hundred six".

Divisors: 1 2 3 6 13 26 29 39 58 67 78 87 134 174 201 239 377 402 478 717 754 871 1131 1434 1742 1943 2262 2613 3107 3886 5226 5829 6214 6931 9321 11658 13862 16013 18642 20793 25259 32026 41586 48039 50518 75777 90103 96078 151554 180206 208169 270309 416338 464377 540618 624507 928754 1249014 1393131 2786262 6036901 12073802 18110703 36221406