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132233220 = 223257104947
BaseRepresentation
bin1111110000110…
…11100000000100
3100012211010212200
413320123200010
5232322430340
621042114500
73163651410
oct770334004
9305733780
10132233220
1168707859
123834ba30
132151b112
14137c1d40
15b920330
hex7e1b804

132233220 has 72 divisors (see below), whose sum is σ = 458412864. Its totient is φ = 30224448.

The previous prime is 132233173. The next prime is 132233221. The reversal of 132233220 is 22332231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132233193 and 132233202.

It is not an unprimeable number, because it can be changed into a prime (132233221) 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, 51214 + ... + 53733.

Almost surely, 2132233220 is an apocalyptic number.

132233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132233220 is an abundant number, since it is smaller than the sum of its proper divisors (326179644).

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

132233220 is a wasteful number, since it uses less digits than its factorization.

132233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104969 (or 104964 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132233220 is about 11499.2704116392. The cubic root of 132233220 is about 509.4640274717.

Adding to 132233220 its reverse (22332231), we get a palindrome (154565451).

The spelling of 132233220 in words is "one hundred thirty-two million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 104947 209894 314841 419788 524735 629682 734629 944523 1049470 1259364 1469258 1574205 1889046 2098940 2203887 2938516 3148410 3673145 3778092 4407774 4722615 6296820 6611661 7346290 8815548 9445230 11019435 13223322 14692580 18890460 22038870 26446644 33058305 44077740 66116610 132233220