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13244224 = 267173747
BaseRepresentation
bin110010100001…
…011101000000
3220220212122211
4302201131000
511342303344
61151511504
7220400620
oct62413500
926825584
1013244224
117526644
124528594
132989426
141a8a880
151269334
hexca1740

13244224 has 112 divisors (see below), whose sum is σ = 33357312. Its totient is φ = 5087232.

The previous prime is 13244219. The next prime is 13244233. The reversal of 13244224 is 42244231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 13244195 and 13244204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281769 + ... + 281815.

Almost surely, 213244224 is an apocalyptic number.

13244224 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 13244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16678656).

13244224 is an abundant number, since it is smaller than the sum of its proper divisors (20113088).

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

13244224 is a wasteful number, since it uses less digits than its factorization.

13244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 13244224 is about 3639.2614635390. The cubic root of 13244224 is about 236.5967851162.

Adding to 13244224 its reverse (42244231), we get a palindrome (55488455).

The spelling of 13244224 in words is "thirteen million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 47 56 64 68 74 94 112 119 136 148 188 224 238 259 272 296 329 376 448 476 518 544 592 629 658 752 799 952 1036 1088 1184 1258 1316 1504 1598 1739 1904 2072 2368 2516 2632 3008 3196 3478 3808 4144 4403 5032 5264 5593 6392 6956 7616 8288 8806 10064 10528 11186 12173 12784 13912 16576 17612 20128 21056 22372 24346 25568 27824 29563 35224 40256 44744 48692 51136 55648 59126 70448 89488 97384 111296 118252 140896 178976 194768 206941 236504 281792 357952 389536 413882 473008 779072 827764 946016 1655528 1892032 3311056 6622112 13244224