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221032164 = 223174723053
BaseRepresentation
bin11010010110010…
…10111011100100
3120101220121010110
431023022323210
5423041012124
633533253020
75322512433
oct1513127344
9511817113
10221032164
11103848811
1262034170
1336a3c482
14214d911a
1514611029
hexd2caee4

221032164 has 48 divisors (see below), whose sum is σ = 557722368. Its totient is φ = 67865088.

The previous prime is 221032153. The next prime is 221032177. The reversal of 221032164 is 461230122.

It is a self number, because there is not a number n which added to its sum of digits gives 221032164.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939 + ... + 21114.

It is an arithmetic number, because the mean of its divisors is an integer number (11619216).

Almost surely, 2221032164 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 221032164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278861184).

221032164 is an abundant number, since it is smaller than the sum of its proper divisors (336690204).

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

221032164 is a wasteful number, since it uses less digits than its factorization.

221032164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23124 (or 23122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 221032164 is about 14867.1505003481. The cubic root of 221032164 is about 604.6236887561.

Adding to 221032164 its reverse (461230122), we get a palindrome (682262286).

The spelling of 221032164 in words is "two hundred twenty-one million, thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 3196 4794 9588 23053 46106 69159 92212 138318 276636 391901 783802 1083491 1175703 1567604 2166982 2351406 3250473 4333964 4702812 6500946 13001892 18419347 36838694 55258041 73677388 110516082 221032164