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21224320 = 275132551
BaseRepresentation
bin101000011110…
…1101110000000
31110221022021221
41100331232000
520413134240
62034524424
7345255325
oct120755600
943838257
1021224320
1110a87167
127136714
134521790
142b66b4c
151ce3a4a
hex143db80

21224320 has 64 divisors (see below), whose sum is σ = 54663840. Its totient is φ = 7833600.

The previous prime is 21224297. The next prime is 21224321. The reversal of 21224320 is 2342212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21224294 and 21224303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21224321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7045 + ... + 9595.

Almost surely, 221224320 is an apocalyptic number.

21224320 is a gapful number since it is divisible by the number (20) 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 21224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27331920).

21224320 is an abundant number, since it is smaller than the sum of its proper divisors (33439520).

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

21224320 is a wasteful number, since it uses less digits than its factorization.

21224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 21224320 is about 4606.9859995446. The cubic root of 21224320 is about 276.8712926279.

Adding to 21224320 its reverse (2342212), we get a palindrome (23566532).

The spelling of 21224320 in words is "twenty-one million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 2551 4160 5102 8320 10204 12755 20408 25510 33163 40816 51020 66326 81632 102040 132652 163264 165815 204080 265304 326528 331630 408160 530608 663260 816320 1061216 1326520 1632640 2122432 2653040 4244864 5306080 10612160 21224320