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36230900 = 2252362309
BaseRepresentation
bin1000101000110…
…1011011110100
32112011201110012
42022031123310
533233342100
63332315352
7616646306
oct212153364
975151405
1036230900
11194a68a2
1210172b58
137677104
144b51976
1532aa135
hex228d6f4

36230900 has 18 divisors (see below), whose sum is σ = 78621270. Its totient is φ = 14492320.

The previous prime is 36230869. The next prime is 36230903. The reversal of 36230900 is 903263.

It is a happy number.

36230900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4104676 + 32126224 = 2026^2 + 5668^2 .

It is a super-2 number, since 2×362309002 = 2625356229620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36230903) 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 5 ways as a sum of consecutive naturals, for example, 181055 + ... + 181254.

Almost surely, 236230900 is an apocalyptic number.

It is an amenable number.

36230900 is an abundant number, since it is smaller than the sum of its proper divisors (42390370).

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

36230900 is a wasteful number, since it uses less digits than its factorization.

36230900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362323 (or 362316 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 36230900 is about 6019.2109117392. The cubic root of 36230900 is about 330.8971607878.

The spelling of 36230900 in words is "thirty-six million, two hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 362309 724618 1449236 1811545 3623090 7246180 9057725 18115450 36230900