Search a number
-
+
221514104 = 23722379311
BaseRepresentation
bin11010011010000…
…00100101111000
3120102211002020002
431031000211320
5423201422404
633551452132
75326560500
oct1515004570
9512732202
10221514104
11104047909
1262227048
1336b7a946
14215c2a00
15146a8c1e
hexd340978

221514104 has 96 divisors (see below), whose sum is σ = 512179200. Its totient is φ = 89369280.

The previous prime is 221514101. The next prime is 221514133. The reversal of 221514104 is 401415122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221514101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712109 + ... + 712419.

It is an arithmetic number, because the mean of its divisors is an integer number (5335200).

Almost surely, 2221514104 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 221514104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

221514104 is an abundant number, since it is smaller than the sum of its proper divisors (290665096).

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

221514104 is a wasteful number, since it uses less digits than its factorization.

221514104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 221514104 is about 14883.3498917414. The cubic root of 221514104 is about 605.0628115921.

Adding to 221514104 its reverse (401415122), we get a palindrome (622929226).

The spelling of 221514104 in words is "two hundred twenty-one million, five hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 79 92 98 158 161 184 196 311 316 322 392 553 622 632 644 1106 1127 1244 1288 1817 2177 2212 2254 2488 3634 3871 4354 4424 4508 7153 7268 7742 8708 9016 12719 14306 14536 15239 15484 17416 24569 25438 28612 30478 30968 49138 50071 50876 57224 60956 89033 98276 100142 101752 121912 171983 178066 196552 200284 343966 350497 356132 400568 565087 687932 700994 712264 1130174 1203881 1375864 1401988 2260348 2407762 2803976 3955609 4520696 4815524 7911218 9631048 15822436 27689263 31644872 55378526 110757052 221514104