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221232132 = 2232114211327
BaseRepresentation
bin11010010111110…
…11110000000100
3120102021202102200
431023323300010
5423113412012
633541434500
75324304432
oct1513736004
9512252380
10221232132
11103974a80
126210ba30
1336aac4b4
142154bd52
15146503dc
hexd2fbc04

221232132 has 72 divisors (see below), whose sum is σ = 611974272. Its totient is φ = 66830400.

The previous prime is 221232127. The next prime is 221232133. The reversal of 221232132 is 231232122.

221232132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221232133) 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, 166053 + ... + 167379.

Almost surely, 2221232132 is an apocalyptic number.

221232132 is a gapful number since it is divisible by the number (22) 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 221232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305987136).

221232132 is an abundant number, since it is smaller than the sum of its proper divisors (390742140).

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

221232132 is a wasteful number, since it uses less digits than its factorization.

221232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1764 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 221232132 is about 14873.8741422670. The cubic root of 221232132 is about 604.8059683315.

Adding to 221232132 its reverse (231232122), we get a palindrome (452464254).

The spelling of 221232132 in words is "two hundred twenty-one million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 421 842 1263 1327 1684 2526 2654 3789 3981 4631 5052 5308 7578 7962 9262 11943 13893 14597 15156 15924 18524 23886 27786 29194 41679 43791 47772 55572 58388 83358 87582 131373 166716 175164 262746 525492 558667 1117334 1676001 2234668 3352002 5028003 6145337 6704004 10056006 12290674 18436011 20112012 24581348 36872022 55308033 73744044 110616066 221232132