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213143220 = 223251184129
BaseRepresentation
bin11001011010001…
…00111010110100
3112212001210112100
430231010322310
5414031040340
633052222100
75165454543
oct1455047264
9485053470
10213143220
11aa34a724
125b46a930
1335209764
142044415a
1513aa3830
hexcb44eb4

213143220 has 36 divisors (see below), whose sum is σ = 646534980. Its totient is φ = 56838144.

The previous prime is 213143219. The next prime is 213143221. The reversal of 213143220 is 22341312.

213143220 is a `hidden beast` number, since 213 + 1 + 432 + 20 = 666.

213143220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213143219) and next prime (213143221).

It can be written as a sum of positive squares in 2 ways, for example, as 79602084 + 133541136 = 8922^2 + 11556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 213143193 and 213143202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213143221) 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, 591885 + ... + 592244.

It is an arithmetic number, because the mean of its divisors is an integer number (17959305).

Almost surely, 2213143220 is an apocalyptic number.

213143220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213143220 is an abundant number, since it is smaller than the sum of its proper divisors (433391760).

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

213143220 is a wasteful number, since it uses less digits than its factorization.

213143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184144 (or 1184139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213143220 is about 14599.4253311560. The cubic root of 213143220 is about 597.3430853742.

Adding to 213143220 its reverse (22341312), we get a palindrome (235484532).

The spelling of 213143220 in words is "two hundred thirteen million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1184129 2368258 3552387 4736516 5920645 7104774 10657161 11841290 14209548 17761935 21314322 23682580 35523870 42628644 53285805 71047740 106571610 213143220