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21221120 = 28559281
BaseRepresentation
bin101000011110…
…0111100000000
31110221010220102
41100330330000
520413033440
62034501532
7345243104
oct120747400
943833812
1021221120
1110a84818
1271348a8
13452019b
142b65904
151ce2b15
hex143cf00

21221120 has 72 divisors (see below), whose sum is σ = 51876720. Its totient is φ = 8314880.

The previous prime is 21221113. The next prime is 21221129. The reversal of 21221120 is 2112212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75380 + ... + 75660.

It is an arithmetic number, because the mean of its divisors is an integer number (720510).

Almost surely, 221221120 is an apocalyptic number.

21221120 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 21221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25938360).

21221120 is an abundant number, since it is smaller than the sum of its proper divisors (30655600).

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

21221120 is an equidigital number, since it uses as much as digits as its factorization.

21221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 21221120 is about 4606.6386878070. The cubic root of 21221120 is about 276.8573772599.

Adding to 21221120 its reverse (2112212), we get a palindrome (23333332).

The spelling of 21221120 in words is "twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 281 295 320 472 562 590 640 944 1124 1180 1280 1405 1888 2248 2360 2810 3776 4496 4720 5620 7552 8992 9440 11240 15104 16579 17984 18880 22480 33158 35968 37760 44960 66316 71936 75520 82895 89920 132632 165790 179840 265264 331580 359680 530528 663160 1061056 1326320 2122112 2652640 4244224 5305280 10610560 21221120