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36200164 = 22711139041
BaseRepresentation
bin1000101000010…
…1111011100100
32112010011021211
42022011323210
533231401124
63331521204
7616460560
oct212057344
975104254
1036200164
11194857a0
1210159204
137666120
144b446a0
1532a0e94
hex2285ee4

36200164 has 48 divisors (see below), whose sum is σ = 85067136. Its totient is φ = 13017600.

The previous prime is 36200161. The next prime is 36200179. The reversal of 36200164 is 46100263.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36200161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517 + ... + 8524.

It is an arithmetic number, because the mean of its divisors is an integer number (1772232).

Almost surely, 236200164 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 36200164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42533568).

36200164 is an abundant number, since it is smaller than the sum of its proper divisors (48866972).

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

36200164 is a wasteful number, since it uses less digits than its factorization.

36200164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 36200164 is about 6016.6572114422. The cubic root of 36200164 is about 330.8035635869.

Subtracting 36200164 from its reverse (46100263), we obtain a palindrome (9900099).

The spelling of 36200164 in words is "thirty-six million, two hundred thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 9041 18082 36164 63287 99451 117533 126574 198902 235066 253148 397804 470132 696157 822731 1292863 1392314 1645462 2585726 2784628 3290924 5171452 9050041 18100082 36200164