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21228180 = 223531101113
BaseRepresentation
bin101000011111…
…0101010010100
31110221111120220
41100332222110
520413300210
62034554340
7345302511
oct120765224
943844526
1021228180
1110a8a056
1271389b0
13452346c
142b68308
151ce4c70
hex143ea94

21228180 has 96 divisors (see below), whose sum is σ = 62512128. Its totient is φ = 5376000.

The previous prime is 21228167. The next prime is 21228209. The reversal of 21228180 is 8182212.

It is a super-2 number, since 2×212281802 = 901271252224800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21228180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187804 + ... + 187916.

It is an arithmetic number, because the mean of its divisors is an integer number (651168).

Almost surely, 221228180 is an apocalyptic number.

21228180 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 21228180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256064).

21228180 is an abundant number, since it is smaller than the sum of its proper divisors (41283948).

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

21228180 is a wasteful number, since it uses less digits than its factorization.

21228180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 21228180 is about 4607.4049094908. The cubic root of 21228180 is about 276.8880761794. Note that the first 3 decimals are identical.

The spelling of 21228180 in words is "twenty-one million, two hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 101 113 124 155 186 202 226 303 310 339 372 404 452 465 505 565 606 620 678 930 1010 1130 1212 1356 1515 1695 1860 2020 2260 3030 3131 3390 3503 6060 6262 6780 7006 9393 10509 11413 12524 14012 15655 17515 18786 21018 22826 31310 34239 35030 37572 42036 45652 46965 52545 57065 62620 68478 70060 93930 105090 114130 136956 171195 187860 210180 228260 342390 353803 684780 707606 1061409 1415212 1769015 2122818 3538030 4245636 5307045 7076060 10614090 21228180