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213231222 = 232371272521
BaseRepresentation
bin11001011010110…
…10011001110110
3112212020021020200
430231122121312
5414041344342
633054141330
75166302241
oct1455323166
9485207220
10213231222
11aa3aa856
125b4b1846
133523a829
1420468258
1513abe94c
hexcb5a676

213231222 has 48 divisors (see below), whose sum is σ = 478413312. Its totient is φ = 68584320.

The previous prime is 213231197. The next prime is 213231353. The reversal of 213231222 is 222132312.

213231222 is a `hidden beast` number, since 213 + 231 + 222 = 666.

It is a super-2 number, since 2×2132312222 = 90935108071226568, which contains 22 as substring.

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 = 213231195 and 213231204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83322 + ... + 85842.

It is an arithmetic number, because the mean of its divisors is an integer number (9966944).

Almost surely, 2213231222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213231222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239206656).

213231222 is an abundant number, since it is smaller than the sum of its proper divisors (265182090).

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

213231222 is a wasteful number, since it uses less digits than its factorization.

213231222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2690 counting only the distinct ones).

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

The square root of 213231222 is about 14602.4389058814. The cubic root of 213231222 is about 597.4252838653.

Adding to 213231222 its reverse (222132312), we get a palindrome (435363534).

The spelling of 213231222 in words is "two hundred thirteen million, two hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 127 222 254 333 381 666 762 1143 2286 2521 4699 5042 7563 9398 14097 15126 22689 28194 42291 45378 84582 93277 186554 279831 320167 559662 640334 839493 960501 1678986 1921002 2881503 5763006 11846179 23692358 35538537 71077074 106615611 213231222