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211011220 = 225710114923
BaseRepresentation
bin11001001001111…
…00011010010100
3112201001110222101
430210330122110
5413004324340
632534411444
75141365030
oct1444743224
9481043871
10211011220
11a9123942
125a800b84
1334941214
142004b1c0
15137d1c9a
hexc93c694

211011220 has 48 divisors (see below), whose sum is σ = 511475328. Its totient is φ = 71625600.

The previous prime is 211011217. The next prime is 211011233. The reversal of 211011220 is 22110112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211011197 and 211011206.

It is a congruent number.

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, 6679 + ... + 21601.

It is an arithmetic number, because the mean of its divisors is an integer number (10655736).

Almost surely, 2211011220 is an apocalyptic number.

211011220 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 211011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255737664).

211011220 is an abundant number, since it is smaller than the sum of its proper divisors (300464108).

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

211011220 is a wasteful number, since it uses less digits than its factorization.

211011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15040 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211011220 is about 14526.2252495271. The cubic root of 211011220 is about 595.3447334958.

Adding to 211011220 its reverse (22110112), we get a palindrome (233121332).

The spelling of 211011220 in words is "two hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 14923 29846 59692 74615 104461 149230 208922 298460 417844 522305 1044610 1507223 2089220 3014446 6028892 7536115 10550561 15072230 21101122 30144460 42202244 52752805 105505610 211011220