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36224364 = 22311299463
BaseRepresentation
bin1000101000101…
…1110101101100
32112011101111010
42022023311230
533233134424
63332225220
7616621251
oct212136554
975141433
1036224364
11194a19a0
121016b210
137674147
144b4d428
1532a8229
hex228bd6c

36224364 has 48 divisors (see below), whose sum is σ = 95397120. Its totient is φ = 10597440.

The previous prime is 36224327. The next prime is 36224381. The reversal of 36224364 is 46342263.

It is a happy number.

36224364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 904 + ... + 8559.

It is an arithmetic number, because the mean of its divisors is an integer number (1987440).

Almost surely, 236224364 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 36224364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47698560).

36224364 is an abundant number, since it is smaller than the sum of its proper divisors (59172756).

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

36224364 is a wasteful number, since it uses less digits than its factorization.

36224364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9508 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 36224364 is about 6018.6679589424. The cubic root of 36224364 is about 330.8772618074.

The spelling of 36224364 in words is "thirty-six million, two hundred twenty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 9463 18926 28389 37852 56778 104093 113556 208186 274427 312279 416372 548854 624558 823281 1097708 1249116 1646562 3018697 3293124 6037394 9056091 12074788 18112182 36224364