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132233112 = 233211199839
BaseRepresentation
bin1111110000110…
…11011110011000
3100012211010201200
413320123132120
5232322424422
621042114200
73163651164
oct770333630
9305733650
10132233112
1168707770
123834b960
132151b05b
14137c1ca4
15b9202ac
hex7e1b798

132233112 has 96 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 39821760.

The previous prime is 132233083. The next prime is 132233113. The reversal of 132233112 is 211332231.

132233112 is a `hidden beast` number, since 1 + 322 + 331 + 12 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157189 + ... + 158027.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2132233112 is an apocalyptic number.

132233112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

132233112 is an abundant number, since it is smaller than the sum of its proper divisors (260886888).

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

132233112 is a wasteful number, since it uses less digits than its factorization.

132233112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1054 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 132233112 is about 11499.2657156881. The cubic root of 132233112 is about 509.4638887720.

Adding to 132233112 its reverse (211332231), we get a palindrome (343565343).

The spelling of 132233112 in words is "one hundred thirty-two million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 199 264 396 398 597 792 796 839 1194 1592 1678 1791 2189 2388 2517 3356 3582 4378 4776 5034 6567 6712 7164 7551 8756 9229 10068 13134 14328 15102 17512 18458 19701 20136 26268 27687 30204 36916 39402 52536 55374 60408 73832 78804 83061 110748 157608 166122 166961 221496 332244 333922 500883 664488 667844 1001766 1335688 1502649 1836571 2003532 3005298 3673142 4007064 5509713 6010596 7346284 11019426 12021192 14692568 16529139 22038852 33058278 44077704 66116556 132233112