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36224244 = 22327314637
BaseRepresentation
bin1000101000101…
…1110011110100
32112011101022200
42022023303310
533233133434
63332224500
7616621020
oct212136364
975141280
1036224244
11194a18a1
121016b130
137674084
144b4d380
1532a8199
hex228bcf4

36224244 has 72 divisors (see below), whose sum is σ = 108046848. Its totient is φ = 10013760.

The previous prime is 36224231. The next prime is 36224261. The reversal of 36224244 is 44242263.

36224244 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 a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5494 + ... + 10130.

Almost surely, 236224244 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 36224244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54023424).

36224244 is an abundant number, since it is smaller than the sum of its proper divisors (71822604).

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

36224244 is a wasteful number, since it uses less digits than its factorization.

36224244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4680 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 36224244 is about 6018.6579899509. The cubic root of 36224244 is about 330.8768964427.

The spelling of 36224244 in words is "thirty-six million, two hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 4637 7812 9274 13911 18548 27822 32459 41733 55644 64918 83466 97377 129836 143747 166932 194754 287494 292131 389508 431241 574988 584262 862482 1006229 1168524 1293723 1724964 2012458 2587446 3018687 4024916 5174892 6037374 9056061 12074748 18112122 36224244