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212331553 = 726137069
BaseRepresentation
bin11001010011111…
…10110000100001
3112210112120010121
430221332300201
5413324102203
633023000241
75155534300
oct1451766041
9483476117
10212331553
11a9945925
125b139081
1334cb4195
14202b2437
15139930bd
hexca7ec21

212331553 has 12 divisors (see below), whose sum is σ = 247435860. Its totient is φ = 181675872.

The previous prime is 212331551. The next prime is 212331563. The reversal of 212331553 is 355133212.

212331553 is digitally balanced in base 2, 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 2 ways, for example, as 24285184 + 188046369 = 4928^2 + 13713^2 .

It is not a de Polignac number, because 212331553 - 21 = 212331551 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212331551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26503 + ... + 33571.

It is an arithmetic number, because the mean of its divisors is an integer number (20619655).

Almost surely, 2212331553 is an apocalyptic number.

It is an amenable number.

212331553 is a deficient number, since it is larger than the sum of its proper divisors (35104307).

212331553 is an equidigital number, since it uses as much as digits as its factorization.

212331553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7689 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The square root of 212331553 is about 14571.6009072442. The cubic root of 212331553 is about 596.5838768992.

Adding to 212331553 its reverse (355133212), we get a palindrome (567464765).

The spelling of 212331553 in words is "two hundred twelve million, three hundred thirty-one thousand, five hundred fifty-three".

Divisors: 1 7 49 613 4291 7069 30037 49483 346381 4333297 30333079 212331553