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221011220 = 225171036311
BaseRepresentation
bin11010010110001…
…01110100010100
3120101212112101202
431023011310110
5423034324340
633533012032
75322364403
oct1513056424
9511775352
10221011220
11103834001
1262024018
1336a32a91
14214d163a
1514609c15
hexd2c5d14

221011220 has 48 divisors (see below), whose sum is σ = 496274688. Its totient is φ = 82383360.

The previous prime is 221011201. The next prime is 221011243. The reversal of 221011220 is 22110122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31865 + ... + 38175.

It is an arithmetic number, because the mean of its divisors is an integer number (10339056).

Almost surely, 2221011220 is an apocalyptic number.

221011220 is a gapful number since it is divisible by the number (20) 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 221011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248137344).

221011220 is an abundant number, since it is smaller than the sum of its proper divisors (275263468).

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

221011220 is a wasteful number, since it uses less digits than its factorization.

221011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 221011220 is about 14866.4461119664. The cubic root of 221011220 is about 604.6045910250.

Adding to 221011220 its reverse (22110122), we get a palindrome (243121342).

The spelling of 221011220 in words is "two hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1751 2060 3502 6311 7004 8755 12622 17510 25244 31555 35020 63110 107287 126220 214574 429148 536435 650033 1072870 1300066 2145740 2600132 3250165 6500330 11050561 13000660 22101122 44202244 55252805 110505610 221011220