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213332220 = 223251185179
BaseRepresentation
bin11001011011100…
…11000011111100
3112212102101210100
430231303003330
5414103112340
633100241100
75200202553
oct1455630374
9485371710
10213332220
11aa469722
125b540190
13352747aa
1420492d9a
1513ade830
hexcb730fc

213332220 has 36 divisors (see below), whose sum is σ = 647108280. Its totient is φ = 56888544.

The previous prime is 213332191. The next prime is 213332227. The reversal of 213332220 is 22233312.

It is a happy number.

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 = 213332193 and 213332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332227) 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, 592410 + ... + 592769.

It is an arithmetic number, because the mean of its divisors is an integer number (17975230).

Almost surely, 2213332220 is an apocalyptic number.

213332220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332220 is an abundant number, since it is smaller than the sum of its proper divisors (433776060).

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

213332220 is a wasteful number, since it uses less digits than its factorization.

213332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185194 (or 1185189 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213332220 is about 14605.8967543934. The cubic root of 213332220 is about 597.5195934355.

Adding to 213332220 its reverse (22233312), we get a palindrome (235565532).

The spelling of 213332220 in words is "two hundred thirteen million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1185179 2370358 3555537 4740716 5925895 7111074 10666611 11851790 14222148 17777685 21333222 23703580 35555370 42666444 53333055 71110740 106666110 213332220