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211244420 = 22523795813
BaseRepresentation
bin11001001011101…
…01010110000100
3112201111022212102
430211311112010
5413034310140
632543411232
75143355642
oct1445652604
9481438772
10211244420
11a9273072
125a8b3b18
13349c33ca
14200ac192
151382ae15
hexc975584

211244420 has 48 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 79787136.

The previous prime is 211244417. The next prime is 211244459. The reversal of 211244420 is 24442112.

It is a super-2 number, since 2×2112444202 = 89248409962272800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211244392 and 211244401.

It is an unprimeable number.

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, 33434 + ... + 39246.

It is an arithmetic number, because the mean of its divisors is an integer number (9767520).

Almost surely, 2211244420 is an apocalyptic number.

211244420 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 211244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

211244420 is an abundant number, since it is smaller than the sum of its proper divisors (257596540).

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

211244420 is a wasteful number, since it uses less digits than its factorization.

211244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 211244420 is about 14534.2498946454. The cubic root of 211244420 is about 595.5639687237.

Adding to 211244420 its reverse (24442112), we get a palindrome (235686532).

The spelling of 211244420 in words is "two hundred eleven million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 79 92 115 158 230 316 395 460 790 1580 1817 3634 5813 7268 9085 11626 18170 23252 29065 36340 58130 116260 133699 267398 459227 534796 668495 918454 1336990 1836908 2296135 2673980 4592270 9184540 10562221 21124442 42248884 52811105 105622210 211244420