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211301220 = 223513270899
BaseRepresentation
bin11001001100000…
…11001101100100
3112201121012210010
430212003031210
5413043114340
632544530220
75144013354
oct1446031544
9481535703
10211301220
11a9301809
125a920970
1334a13210
14200c4b64
151383cb80
hexc983364

211301220 has 48 divisors (see below), whose sum is σ = 637156800. Its totient is φ = 52012416.

The previous prime is 211301171. The next prime is 211301227. The reversal of 211301220 is 22103112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211301196 and 211301205.

It is not an unprimeable number, because it can be changed into a prime (211301227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134670 + ... + 136229.

It is an arithmetic number, because the mean of its divisors is an integer number (13274100).

Almost surely, 2211301220 is an apocalyptic number.

211301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211301220 is an abundant number, since it is smaller than the sum of its proper divisors (425855580).

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

211301220 is a wasteful number, since it uses less digits than its factorization.

211301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270924 (or 270922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211301220 is about 14536.2037685222. The cubic root of 211301220 is about 595.6173429177.

Adding to 211301220 its reverse (22103112), we get a palindrome (233404332).

The spelling of 211301220 in words is "two hundred eleven million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 270899 541798 812697 1083596 1354495 1625394 2708990 3250788 3521687 4063485 5417980 7043374 8126970 10565061 14086748 16253940 17608435 21130122 35216870 42260244 52825305 70433740 105650610 211301220