Search a number
-
+
13225044 = 2237296189
BaseRepresentation
bin110010011100…
…110001010100
3220212220100110
4302130301110
511341200134
61151243020
7220260660
oct62346124
926786313
1013225044
117513198
124519470
132980791
141a838a0
1512637e9
hexc9cc54

13225044 has 96 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3548160.

The previous prime is 13225039. The next prime is 13225061. The reversal of 13225044 is 44052231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13225044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148552 + ... + 148640.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 213225044 is an apocalyptic number.

13225044 is a gapful number since it is divisible by the number (14) 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 13225044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13225044 is an abundant number, since it is smaller than the sum of its proper divisors (24272556).

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

13225044 is a wasteful number, since it uses less digits than its factorization.

13225044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13225044 is about 3636.6253587633. The cubic root of 13225044 is about 236.4825184825.

Adding to 13225044 its reverse (44052231), we get a palindrome (57277275).

The spelling of 13225044 in words is "thirteen million, two hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 61 84 87 89 116 122 174 178 183 203 244 267 348 356 366 406 427 534 609 623 732 812 854 1068 1218 1246 1281 1708 1769 1869 2436 2492 2562 2581 3538 3738 5124 5162 5307 5429 7076 7476 7743 10324 10614 10858 12383 15486 16287 18067 21228 21716 24766 30972 32574 36134 37149 38003 49532 54201 65148 72268 74298 76006 108402 114009 148596 152012 157441 216804 228018 314882 456036 472323 629764 944646 1102087 1889292 2204174 3306261 4408348 6612522 13225044