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221249489 = 232411012
BaseRepresentation
bin11010010111111…
…11111111010001
3120102022122020112
431023333333101
5423114440424
633542051105
75324406146
oct1513777721
9512278215
10221249489
1110398701a
1262119a95
1336ab7376
14215543cd
151465560e
hexd2fffd1

221249489 has 18 divisors (see below), whose sum is σ = 239297478. Its totient is φ = 204424000.

The previous prime is 221249467. The next prime is 221249519. The reversal of 221249489 is 984942122.

It can be written as a sum of positive squares in 3 ways, for example, as 91107025 + 130142464 = 9545^2 + 11408^2 .

It is not a de Polignac number, because 221249489 - 212 = 221245393 is a prime.

It is a super-2 number, since 2×2212494892 = 97902672765522242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221249089) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2190539 + ... + 2190639.

Almost surely, 2221249489 is an apocalyptic number.

It is an amenable number.

221249489 is a deficient number, since it is larger than the sum of its proper divisors (18047989).

221249489 is an equidigital number, since it uses as much as digits as its factorization.

221249489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 165 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 221249489 is about 14874.4576035565. The cubic root of 221249489 is about 604.8217848144.

Multiplying 221249489 by its sum of digits (41), we get a square (9071229049 = 952432).

221249489 divided by its sum of digits (41) gives a square (5396329 = 23232).

It can be divided in two parts, 22124 and 9489, that added together give a palindrome (31613).

The spelling of 221249489 in words is "two hundred twenty-one million, two hundred forty-nine thousand, four hundred eighty-nine".

Divisors: 1 23 41 101 529 943 2323 4141 10201 21689 53429 95243 234623 418241 2190589 5396329 9619543 221249489