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211331304 = 23322935157
BaseRepresentation
bin11001001100010…
…10100011101000
3112201122202001100
430212022203220
5413100100204
632545321400
75144200152
oct1446124350
9481582040
10211331304
11a9322378
125a936260
1334a23b12
14200d1ad2
1513846a39
hexc98a8e8

211331304 has 24 divisors (see below), whose sum is σ = 572355810. Its totient is φ = 70443744.

The previous prime is 211331303. The next prime is 211331311. The reversal of 211331304 is 403133112.

211331304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 185014404 + 26316900 = 13602^2 + 5130^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211331303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1467507 + ... + 1467650.

Almost surely, 2211331304 is an apocalyptic number.

211331304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211331304 is an abundant number, since it is smaller than the sum of its proper divisors (361024506).

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

211331304 is a wasteful number, since it uses less digits than its factorization.

211331304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935169 (or 2935162 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 211331304 is about 14537.2385273132. The cubic root of 211331304 is about 595.6456085722.

Adding to 211331304 its reverse (403133112), we get a palindrome (614464416).

The spelling of 211331304 in words is "two hundred eleven million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2935157 5870314 8805471 11740628 17610942 23481256 26416413 35221884 52832826 70443768 105665652 211331304