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132223120 = 2451652789
BaseRepresentation
bin1111110000110…
…01000010010000
3100012210122000121
413320121002100
5232322114440
621042000024
73163610101
oct770310220
9305718017
10132223120
1168700207
1238346014
1321516643
14137bc3a8
15b91c34a
hex7e19090

132223120 has 20 divisors (see below), whose sum is σ = 307418940. Its totient is φ = 52889216.

The previous prime is 132223103. The next prime is 132223121. The reversal of 132223120 is 21322231.

It can be written as a sum of positive squares in 2 ways, for example, as 81072016 + 51151104 = 9004^2 + 7152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132223094 and 132223103.

It is not an unprimeable number, because it can be changed into a prime (132223121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 826315 + ... + 826474.

It is an arithmetic number, because the mean of its divisors is an integer number (15370947).

Almost surely, 2132223120 is an apocalyptic number.

132223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132223120 is an abundant number, since it is smaller than the sum of its proper divisors (175195820).

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

132223120 is a wasteful number, since it uses less digits than its factorization.

132223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652802 (or 1652796 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132223120 is about 11498.8312449570. The cubic root of 132223120 is about 509.4510561530.

Adding to 132223120 its reverse (21322231), we get a palindrome (153545351).

It can be divided in two parts, 1322 and 23120, that added together give a palindrome (24442).

The spelling of 132223120 in words is "one hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1652789 3305578 6611156 8263945 13222312 16527890 26444624 33055780 66111560 132223120