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13204224 = 283211521
BaseRepresentation
bin110010010111…
…101100000000
3220211211210100
4302113230000
511340013344
61151002400
7220143165
oct62275400
926754710
1013204224
1174a9590
124509400
132974167
141a7a06c
15125c569
hexc97b00

13204224 has 108 divisors (see below), whose sum is σ = 41611752. Its totient is φ = 3993600.

The previous prime is 13204211. The next prime is 13204237. The reversal of 13204224 is 42240231.

It is an interprime number because it is at equal distance from previous prime (13204211) and next prime (13204237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13204197 and 13204206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25084 + ... + 25604.

It is an arithmetic number, because the mean of its divisors is an integer number (385294).

Almost surely, 213204224 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 13204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805876).

13204224 is an abundant number, since it is smaller than the sum of its proper divisors (28407528).

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

13204224 is a wasteful number, since it uses less digits than its factorization.

13204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13204224 is about 3633.7616872877. The cubic root of 13204224 is about 236.3583562744.

Adding to 13204224 its reverse (42240231), we get a palindrome (55444455).

The spelling of 13204224 in words is "thirteen million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 521 528 576 704 768 792 1042 1056 1152 1408 1563 1584 2084 2112 2304 2816 3126 3168 4168 4224 4689 5731 6252 6336 8336 8448 9378 11462 12504 12672 16672 17193 18756 22924 25008 25344 33344 34386 37512 45848 50016 51579 66688 68772 75024 91696 100032 103158 133376 137544 150048 183392 200064 206316 275088 300096 366784 400128 412632 550176 600192 733568 825264 1100352 1200384 1467136 1650528 2200704 3301056 4401408 6602112 13204224