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21349224 = 2333137603
BaseRepresentation
bin101000101110…
…0001101101000
31111011122122000
41101130031220
520431133344
62041331000
7346315431
oct121341550
944148560
1021349224
1111061a96
127196a60
1345665a0
142b9a488
151d1aa69
hex145c368

21349224 has 64 divisors (see below), whose sum is σ = 63873600. Its totient is φ = 6568128.

The previous prime is 21349219. The next prime is 21349243. The reversal of 21349224 is 42294312.

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

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994 + ... + 6609.

It is an arithmetic number, because the mean of its divisors is an integer number (998025).

Almost surely, 221349224 is an apocalyptic number.

21349224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21349224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31936800).

21349224 is an abundant number, since it is smaller than the sum of its proper divisors (42524376).

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

21349224 is a wasteful number, since it uses less digits than its factorization.

21349224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7621 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21349224 is about 4620.5220484270. The cubic root of 21349224 is about 277.4133549799.

The spelling of 21349224 in words is "twenty-one million, three hundred forty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 7603 15206 22809 30412 45618 60824 68427 91236 98839 136854 182472 197678 205281 273708 296517 395356 410562 547416 593034 790712 821124 889551 1186068 1642248 1779102 2372136 2668653 3558204 5337306 7116408 10674612 21349224