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211313220 = 22355959693
BaseRepresentation
bin11001001100001…
…10001001000100
3112201121211020120
430212012021010
5413044010340
632545101540
75144063346
oct1446061104
9481554216
10211313220
11a930a828
125a9278b0
1334a18811
14200c9296
15138414d0
hexc986244

211313220 has 48 divisors (see below), whose sum is σ = 601715520. Its totient is φ = 55394176.

The previous prime is 211313209. The next prime is 211313257. The reversal of 211313220 is 22313112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211313220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26307 + ... + 33386.

It is an arithmetic number, because the mean of its divisors is an integer number (12535740).

Almost surely, 2211313220 is an apocalyptic number.

211313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211313220 is an abundant number, since it is smaller than the sum of its proper divisors (390402300).

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

211313220 is a wasteful number, since it uses less digits than its factorization.

211313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59764 (or 59762 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 211313220 is about 14536.6165251753. The cubic root of 211313220 is about 595.6286179320.

Adding to 211313220 its reverse (22313112), we get a palindrome (233626332).

The spelling of 211313220 in words is "two hundred eleven million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 59693 119386 179079 238772 298465 358158 596930 716316 895395 1193860 1790790 3521887 3581580 7043774 10565661 14087548 17609435 21131322 35218870 42262644 52828305 70437740 105656610 211313220