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36228361 = 1324632
BaseRepresentation
bin1000101000110…
…0110100001001
32112011120222011
42022030310021
533233301421
63332255521
7616636021
oct212146411
975146864
1036228361
11194a49a4
12101715a1
137675c00
144b50a81
1532a94e1
hex228cd09

36228361 has 9 divisors (see below), whose sum is σ = 39314439. Its totient is φ = 33369336.

The previous prime is 36228341. The next prime is 36228391. The reversal of 36228361 is 16382263.

The square root of 36228361 is 6019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5359225 + 30869136 = 2315^2 + 5556^2 .

It is not a de Polignac number, because 36228361 - 25 = 36228329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36228341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78016 + ... + 78478.

It is an arithmetic number, because the mean of its divisors is an integer number (4368271).

Almost surely, 236228361 is an apocalyptic number.

36228361 is the 6019-th square number.

36228361 is the 3010-th centered octagonal number.

It is an amenable number.

36228361 is a deficient number, since it is larger than the sum of its proper divisors (3086078).

36228361 is an frugal number, since it uses more digits than its factorization.

36228361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The cubic root of 36228361 is about 330.8894310367.

The spelling of 36228361 in words is "thirty-six million, two hundred twenty-eight thousand, three hundred sixty-one".