Search a number
-
+
13224414 = 2372311451
BaseRepresentation
bin110010011100…
…100111011110
3220212212111010
4302130213132
511341140124
61151240050
7220256100
oct62344736
926785433
1013224414
117512775
124519026
1329803c8
141a83570
151263529
hexc9c9de

13224414 has 48 divisors (see below), whose sum is σ = 31781376. Its totient is φ = 3654000.

The previous prime is 13224391. The next prime is 13224457. The reversal of 13224414 is 41442231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8389 + ... + 9839.

It is an arithmetic number, because the mean of its divisors is an integer number (662112).

Almost surely, 213224414 is an apocalyptic number.

13224414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890688).

13224414 is an abundant number, since it is smaller than the sum of its proper divisors (18556962).

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

13224414 is a wasteful number, since it uses less digits than its factorization.

13224414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1494 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 13224414 is about 3636.5387389659. The cubic root of 13224414 is about 236.4787633254.

Adding to 13224414 its reverse (41442231), we get a palindrome (54666645).

The spelling of 13224414 in words is "thirteen million, two hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1451 1519 2902 3038 4353 4557 8706 9114 10157 20314 30471 44981 60942 71099 89962 134943 142198 213297 269886 314867 426594 629734 944601 1889202 2204069 4408138 6612207 13224414