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221114364 = 223237910141
BaseRepresentation
bin11010010110111…
…10111111111100
3120102001202212220
431023132333330
5423101124424
633535125340
75323304202
oct1513367774
9512052786
10221114364
111038a4549
1262073850
1336a6aa03
142151b072
151462a579
hexd2deffc

221114364 has 48 divisors (see below), whose sum is σ = 545233920. Its totient is φ = 69600960.

The previous prime is 221114347. The next prime is 221114371. The reversal of 221114364 is 463411122.

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

It is a congruent number.

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, 16734 + ... + 26874.

It is an arithmetic number, because the mean of its divisors is an integer number (11359040).

Almost surely, 2221114364 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 221114364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272616960).

221114364 is an abundant number, since it is smaller than the sum of its proper divisors (324119556).

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

221114364 is a wasteful number, since it uses less digits than its factorization.

221114364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10248 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 221114364 is about 14869.9147273950. The cubic root of 221114364 is about 604.6986309524.

Adding to 221114364 its reverse (463411122), we get a palindrome (684525486).

The spelling of 221114364 in words is "two hundred twenty-one million, one hundred fourteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 138 158 237 276 316 474 948 1817 3634 5451 7268 10141 10902 20282 21804 30423 40564 60846 121692 233243 466486 699729 801139 932972 1399458 1602278 2403417 2798916 3204556 4806834 9613668 18426197 36852394 55278591 73704788 110557182 221114364