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132222020 = 22572921123
BaseRepresentation
bin1111110000110…
…00110001000100
3100012210120111212
413320120301010
5232322101040
621041550552
73163603640
oct770306104
9305716455
10132222020
11686aa3a7
1238345458
1321515ca8
14137bbc20
15b91bd65
hex7e18c44

132222020 has 72 divisors (see below), whose sum is σ = 328945344. Its totient is φ = 43731072.

The previous prime is 132222017. The next prime is 132222047. The reversal of 132222020 is 20222231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 132221986 and 132222004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117179 + ... + 118301.

Almost surely, 2132222020 is an apocalyptic number.

132222020 is a gapful number since it is divisible by the number (10) 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 132222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164472672).

132222020 is an abundant number, since it is smaller than the sum of its proper divisors (196723324).

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

132222020 is a wasteful number, since it uses less digits than its factorization.

132222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 132222020 is about 11498.7834139095. The cubic root of 132222020 is about 509.4496433953.

Adding to 132222020 its reverse (20222231), we get a palindrome (152444251).

The spelling of 132222020 in words is "one hundred thirty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 841 1015 1123 1682 2030 2246 3364 4060 4205 4492 5615 5887 7861 8410 11230 11774 15722 16820 22460 23548 29435 31444 32567 39305 58870 65134 78610 117740 130268 157220 162835 227969 325670 455938 651340 911876 944443 1139845 1888886 2279690 3777772 4559380 4722215 6611101 9444430 13222202 18888860 26444404 33055505 66111010 132222020