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214221132 = 22332338513
BaseRepresentation
bin11001100010011…
…00000101001100
3112221002120011000
430301030011030
5414320034012
633131300300
75210564256
oct1461140514
9487076130
10214221132
11aaa16564
125b8aa690
13354c6288
1420644cd6
1513c17ddc
hexcc4c14c

214221132 has 48 divisors (see below), whose sum is σ = 557837280. Its totient is φ = 71092224.

The previous prime is 214221113. The next prime is 214221167. The reversal of 214221132 is 231122412.

It is a happy number.

It is a super-2 number, since 2×2142211322 = 91781386790722848, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20908 + ... + 29420.

It is an arithmetic number, because the mean of its divisors is an integer number (11621610).

Almost surely, 2214221132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278918640).

214221132 is an abundant number, since it is smaller than the sum of its proper divisors (343616148).

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

214221132 is a wasteful number, since it uses less digits than its factorization.

214221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8759 (or 8751 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 214221132 is about 14636.2950229899. The cubic root of 214221132 is about 598.3483576343.

Adding to 214221132 its reverse (231122412), we get a palindrome (445343544).

The spelling of 214221132 in words is "two hundred fourteen million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1398 2097 2796 4194 6291 8388 8513 12582 17026 25164 25539 34052 51078 76617 102156 153234 229851 306468 459702 919404 1983529 3967058 5950587 7934116 11901174 17851761 23802348 35703522 53555283 71407044 107110566 214221132