Search a number
-
+
132223002 = 23731272377
BaseRepresentation
bin1111110000110…
…01000000011010
3100012210121212020
413320121000122
5232322114002
621041555310
73163606542
oct770310032
9305717766
10132223002
116870010a
1238345b36
1321516582
14137bc322
15b91c2bc
hex7e1901a

132223002 has 32 divisors (see below), whose sum is σ = 270292992. Its totient is φ = 43110144.

The previous prime is 132223001. The next prime is 132223009. The reversal of 132223002 is 200322231.

132223002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1322230023 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132223001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54438 + ... + 56814.

It is an arithmetic number, because the mean of its divisors is an integer number (8446656).

Almost surely, 2132223002 is an apocalyptic number.

132223002 is an abundant number, since it is smaller than the sum of its proper divisors (138069990).

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

132223002 is a wasteful number, since it uses less digits than its factorization.

132223002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132223002 is about 11498.8261139996. The cubic root of 132223002 is about 509.4509046030.

Adding to 132223002 its reverse (200322231), we get a palindrome (332545233).

The spelling of 132223002 in words is "one hundred thirty-two million, two hundred twenty-three thousand, two".

Divisors: 1 2 3 6 73 127 146 219 254 381 438 762 2377 4754 7131 9271 14262 18542 27813 55626 173521 301879 347042 520563 603758 905637 1041126 1811274 22037167 44074334 66111501 132223002