Search a number
-
+
211141220 = 22571148691
BaseRepresentation
bin11001001010111…
…00001001100100
3112201022002022012
430211130021210
5413023004340
632541253352
75142446033
oct1445341144
9481262265
10211141220
11a9202584
125a864258
1334988444
142008271a
151380a565
hexc95c264

211141220 has 24 divisors (see below), whose sum is σ = 449644608. Its totient is φ = 83266400.

The previous prime is 211141213. The next prime is 211141253. The reversal of 211141220 is 22141112.

It is a happy number.

It is a super-2 number, since 2×2111412202 = 89161229566176800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211141195 and 211141204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72926 + ... + 75765.

It is an arithmetic number, because the mean of its divisors is an integer number (18735192).

Almost surely, 2211141220 is an apocalyptic number.

211141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211141220 is an abundant number, since it is smaller than the sum of its proper divisors (238503388).

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

211141220 is a wasteful number, since it uses less digits than its factorization.

211141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148771 (or 148769 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 211141220 is about 14530.6992261212. The cubic root of 211141220 is about 595.4669685867.

Adding to 211141220 its reverse (22141112), we get a palindrome (233282332).

The spelling of 211141220 in words is "two hundred eleven million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 148691 297382 594764 743455 1486910 2973820 10557061 21114122 42228244 52785305 105570610 211141220