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211332 = 223111601
BaseRepresentation
bin110011100110000100
3101201220010
4303212010
523230312
64310220
71540062
oct634604
9351803
10211332
11134860
12a2370
1375264
1457032
154293c
hex33984

211332 has 24 divisors (see below), whose sum is σ = 538272. Its totient is φ = 64000.

The previous prime is 211319. The next prime is 211333. The reversal of 211332 is 233112.

It is a happy number.

It is a super-2 number, since 2×2113322 = 89322428448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (211333) by changing a digit.

211332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (22428).

2211332 is an apocalyptic number.

211332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211332 is an abundant number, since it is smaller than the sum of its proper divisors (326940).

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

211332 is a wasteful number, since it uses less digits than its factorization.

211332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1617 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 211332 is about 459.7086033565. The cubic root of 211332 is about 59.5646262473.

Adding to 211332 its reverse (233112), we get a palindrome (444444).

It can be divided in two parts, 2113 and 32, that added together give a triangular number (2145 = T65).

The spelling of 211332 in words is "two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1601 3202 4803 6404 9606 17611 19212 35222 52833 70444 105666 211332