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20421219 = 37131931127
BaseRepresentation
bin100110111100…
…1101001100011
31102102111122110
41031321221203
520211434334
62005410403
7335402040
oct115715143
942374573
1020421219
1110588845
126a09a03
134300080
1429d81c7
151bd5ae9
hex1379a63

20421219 has 64 divisors (see below), whose sum is σ = 36700160. Its totient is φ = 9797760.

The previous prime is 20421209. The next prime is 20421223. The reversal of 20421219 is 91212402.

It is not a de Polignac number, because 20421219 - 25 = 20421187 is a prime.

It is a super-2 number, since 2×204212192 = 834052370891922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20421195 and 20421204.

It is not an unprimeable number, because it can be changed into a prime (20421209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160734 + ... + 160860.

It is an arithmetic number, because the mean of its divisors is an integer number (573440).

Almost surely, 220421219 is an apocalyptic number.

20421219 is a deficient number, since it is larger than the sum of its proper divisors (16278941).

20421219 is a wasteful number, since it uses less digits than its factorization.

20421219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20421219 is about 4518.9842885321. The cubic root of 20421219 is about 273.3341451823.

The spelling of 20421219 in words is "twenty million, four hundred twenty-one thousand, two hundred nineteen".

Divisors: 1 3 7 13 19 21 31 39 57 91 93 127 133 217 247 273 381 399 403 589 651 741 889 1209 1651 1729 1767 2413 2667 2821 3937 4123 4953 5187 7239 7657 8463 11557 11811 12369 16891 22971 27559 31369 34671 50673 51181 53599 74803 82677 94107 153543 160797 219583 224409 358267 523621 658749 972439 1074801 1570863 2917317 6807073 20421219