Search a number
-
+
213132222 = 2343533727
BaseRepresentation
bin11001011010000…
…10001110111110
3112212001020110000
430231002032332
5414030212342
633052055130
75165410512
oct1455021676
9485036400
10213132222
11aa342436
125b4644a6
1335204754
1420440142
1513aa044c
hexcb423be

213132222 has 40 divisors (see below), whose sum is σ = 479055456. Its totient is φ = 70823808.

The previous prime is 213132221. The next prime is 213132233. The reversal of 213132222 is 222231312.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213132195 and 213132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55323 + ... + 59049.

Almost surely, 2213132222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239527728).

213132222 is an abundant number, since it is smaller than the sum of its proper divisors (265923234).

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

213132222 is a wasteful number, since it uses less digits than its factorization.

213132222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4085 counting only the distinct ones).

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

The square root of 213132222 is about 14599.0486676358. The cubic root of 213132222 is about 597.3328110740.

Adding to 213132222 its reverse (222231312), we get a palindrome (435363534).

The spelling of 213132222 in words is "two hundred thirteen million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 353 706 1059 2118 3177 3727 6354 7454 9531 11181 19062 22362 28593 33543 57186 67086 100629 201258 301887 603774 1315631 2631262 3946893 7893786 11840679 23681358 35522037 71044074 106566111 213132222