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36114228 = 22331272633
BaseRepresentation
bin1000100111000…
…0111100110100
32111221210102000
42021300330310
533221123403
63330015300
7615652203
oct211607464
974853360
1036114228
1119427177
1210117530
137635c87
144b2123a
1532857a3
hex2270f34

36114228 has 48 divisors (see below), whose sum is σ = 94402560. Its totient is φ = 11938752.

The previous prime is 36114223. The next prime is 36114241. The reversal of 36114228 is 82241163.

36114228 is a `hidden beast` number, since 3 + 611 + 42 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36114223) 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, 12400 + ... + 15032.

It is an arithmetic number, because the mean of its divisors is an integer number (1966720).

Almost surely, 236114228 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 36114228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47201280).

36114228 is an abundant number, since it is smaller than the sum of its proper divisors (58288332).

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

36114228 is a wasteful number, since it uses less digits than its factorization.

36114228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2765 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 36114228 is about 6009.5114610091. The cubic root of 36114228 is about 330.5415900049.

The spelling of 36114228 in words is "thirty-six million, one hundred fourteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 2633 3429 4572 5266 6858 7899 10532 13716 15798 23697 31596 47394 71091 94788 142182 284364 334391 668782 1003173 1337564 2006346 3009519 4012692 6019038 9028557 12038076 18057114 36114228