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21214180 = 22513139587
BaseRepresentation
bin101000011101…
…1001111100100
31110220210101101
41100323033210
520412323210
62034405444
7345213631
oct120731744
943823341
1021214180
1110a7a589
127130884
134519c90
142b63188
151ce0a3a
hex143b3e4

21214180 has 48 divisors (see below), whose sum is σ = 48404160. Its totient is φ = 7763328.

The previous prime is 21214169. The next prime is 21214183. The reversal of 21214180 is 8141212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21214183) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35847 + ... + 36433.

It is an arithmetic number, because the mean of its divisors is an integer number (1008420).

Almost surely, 221214180 is an apocalyptic number.

21214180 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 21214180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24202080).

21214180 is an abundant number, since it is smaller than the sum of its proper divisors (27189980).

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

21214180 is a wasteful number, since it uses less digits than its factorization.

21214180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 21214180 is about 4605.8853654862. The cubic root of 21214180 is about 276.8271934982.

Adding to 21214180 its reverse (8141212), we get a palindrome (29355392).

The spelling of 21214180 in words is "twenty-one million, two hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 587 695 1174 1390 1807 2348 2780 2935 3614 5870 7228 7631 9035 11740 15262 18070 30524 36140 38155 76310 81593 152620 163186 326372 407965 815930 1060709 1631860 2121418 4242836 5303545 10607090 21214180