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36228296 = 23131013449
BaseRepresentation
bin1000101000110…
…0110011001000
32112011120212202
42022030303020
533233301141
63332255332
7616635566
oct212146310
975146782
1036228296
11194a4945
1210171548
137675b80
144b50a36
1532a949b
hex228ccc8

36228296 has 32 divisors (see below), whose sum is σ = 73899000. Its totient is φ = 16550400.

The previous prime is 36228277. The next prime is 36228299. The reversal of 36228296 is 69282263.

It can be written as a sum of positive squares in 4 ways, for example, as 22905796 + 13322500 = 4786^2 + 3650^2 .

It is not an unprimeable number, because it can be changed into a prime (36228299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8780 + ... + 12228.

Almost surely, 236228296 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 36228296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36949500).

36228296 is an abundant number, since it is smaller than the sum of its proper divisors (37670704).

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

36228296 is a wasteful number, since it uses less digits than its factorization.

36228296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3565 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 36228296 is about 6018.9946004295. The cubic root of 36228296 is about 330.8892331455.

The spelling of 36228296 in words is "thirty-six million, two hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 3449 5252 6898 10504 13796 27592 44837 89674 179348 348349 358696 696698 1393396 2786792 4528537 9057074 18114148 36228296