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132133220 = 22519218301
BaseRepresentation
bin1111110000000…
…11000101100100
3100012122001200222
413320003011210
5232311230340
621040023512
73163054022
oct770030544
9305561628
10132133220
116864970a
1238301b98
13214b474b
1413797712
15b9008b5
hex7e03164

132133220 has 36 divisors (see below), whose sum is σ = 292868604. Its totient is φ = 50068800.

The previous prime is 132133207. The next prime is 132133223. The reversal of 132133220 is 22331231.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 114019684 = 4256^2 + 10678^2 .

It is not an unprimeable number, because it can be changed into a prime (132133223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1931 + ... + 16370.

It is an arithmetic number, because the mean of its divisors is an integer number (8135239).

Almost surely, 2132133220 is an apocalyptic number.

132133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133220 is an abundant number, since it is smaller than the sum of its proper divisors (160735384).

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

132133220 is a wasteful number, since it uses less digits than its factorization.

132133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18348 (or 18327 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132133220 is about 11494.9214873352. The cubic root of 132133220 is about 509.3355694571.

Adding to 132133220 its reverse (22331231), we get a palindrome (154464451).

The spelling of 132133220 in words is "one hundred thirty-two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 18301 36602 73204 91505 183010 347719 366020 695438 1390876 1738595 3477190 6606661 6954380 13213322 26426644 33033305 66066610 132133220