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221132052 = 2233312572
BaseRepresentation
bin11010010111000…
…11010100010100
3120102002200011000
431023203110110
5423102211202
633535343300
75323406601
oct1513432424
9512080130
10221132052
11103906869
1262081b30
1336a75a8b
14215236a8
151463091c
hexd2e3514

221132052 has 72 divisors (see below), whose sum is σ = 594110720. Its totient is φ = 71055360.

The previous prime is 221132033. The next prime is 221132053. The reversal of 221132052 is 250231122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221132053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860308 + ... + 860564.

Almost surely, 2221132052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221132052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297055360).

221132052 is an abundant number, since it is smaller than the sum of its proper divisors (372978668).

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

221132052 is a wasteful number, since it uses less digits than its factorization.

221132052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 221132052 is about 14870.5094734511. The cubic root of 221132052 is about 604.7147547718.

Adding to 221132052 its reverse (250231122), we get a palindrome (471363174).

The spelling of 221132052 in words is "two hundred twenty-one million, one hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 257 279 372 514 558 771 837 1028 1116 1542 1674 2313 3084 3348 4626 6939 7967 9252 13878 15934 23901 27756 31868 47802 66049 71703 95604 132098 143406 198147 215109 264196 286812 396294 430218 594441 792588 860436 1188882 1783323 2047519 2377764 3566646 4095038 6142557 7133292 8190076 12285114 18427671 24570228 36855342 55283013 73710684 110566026 221132052