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132248232 = 233231193307
BaseRepresentation
bin1111110000111…
…11001010101000
3100012211220110200
413320133022220
5232323420412
621042312200
73164043234
oct770371250
9305756420
10132248232
1168718066
1238358660
1321524bbc
14137c75c4
15b9249dc
hex7e1f2a8

132248232 has 96 divisors (see below), whose sum is σ = 372852480. Its totient is φ = 42301440.

The previous prime is 132248213. The next prime is 132248239. The reversal of 132248232 is 232842231.

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 = 132248196 and 132248205.

It is not an unprimeable number, because it can be changed into a prime (132248239) 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, 430623 + ... + 430929.

It is an arithmetic number, because the mean of its divisors is an integer number (3883880).

Almost surely, 2132248232 is an apocalyptic number.

132248232 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 132248232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186426240).

132248232 is an abundant number, since it is smaller than the sum of its proper divisors (240604248).

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

132248232 is a wasteful number, since it uses less digits than its factorization.

132248232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 132248232 is about 11499.9231301779. The cubic root of 132248232 is about 509.4833059973.

The spelling of 132248232 in words is "one hundred thirty-two million, two hundred forty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 193 248 279 307 372 386 558 579 614 744 772 921 1116 1158 1228 1544 1737 1842 2232 2316 2456 2763 3474 3684 4632 5526 5983 6948 7368 9517 11052 11966 13896 17949 19034 22104 23932 28551 35898 38068 47864 53847 57102 59251 71796 76136 85653 107694 114204 118502 143592 171306 177753 215388 228408 237004 342612 355506 430776 474008 533259 685224 711012 1066518 1422024 1836781 2133036 3673562 4266072 5510343 7347124 11020686 14694248 16531029 22041372 33062058 44082744 66124116 132248232