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221131352 = 231310919507
BaseRepresentation
bin11010010111000…
…11001001011000
3120102002122012002
431023203021120
5423102200402
633535340132
75323404551
oct1513431130
9512078162
10221131352
11103906292
1262081648
1336a75670
1421523328
1514630602
hexd2e3258

221131352 has 32 divisors (see below), whose sum is σ = 450634800. Its totient is φ = 101119104.

The previous prime is 221131343. The next prime is 221131357. The reversal of 221131352 is 253131122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221131357) 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 7 ways as a sum of consecutive naturals, for example, 1583 + ... + 21089.

Almost surely, 2221131352 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 221131352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225317400).

221131352 is an abundant number, since it is smaller than the sum of its proper divisors (229503448).

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

221131352 is a wasteful number, since it uses less digits than its factorization.

221131352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19635 (or 19631 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 221131352 is about 14870.4859369154. The cubic root of 221131352 is about 604.7141166903.

Adding to 221131352 its reverse (253131122), we get a palindrome (474262474).

The spelling of 221131352 in words is "two hundred twenty-one million, one hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1417 2834 5668 11336 19507 39014 78028 156056 253591 507182 1014364 2028728 2126263 4252526 8505052 17010104 27641419 55282838 110565676 221131352