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13314224 = 24711101107
BaseRepresentation
bin110010110010…
…100010110000
3221001102200102
4302302202300
511402023344
61153211532
7221111660
oct62624260
927042612
1013314224
1175741a0
124560ba8
1329b2251
141aa81a0
15127ee4e
hexcb28b0

13314224 has 80 divisors (see below), whose sum is σ = 32783616. Its totient is φ = 5088000.

The previous prime is 13314181. The next prime is 13314239. The reversal of 13314224 is 42241331.

It is a junction number, because it is equal to n+sod(n) for n = 13314196 and 13314205.

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, 124379 + ... + 124485.

Almost surely, 213314224 is an apocalyptic number.

13314224 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 13314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391808).

13314224 is an abundant number, since it is smaller than the sum of its proper divisors (19469392).

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

13314224 is a wasteful number, since it uses less digits than its factorization.

13314224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 13314224 is about 3648.8661252504. The cubic root of 13314224 is about 237.0128830374.

Adding to 13314224 its reverse (42241331), we get a palindrome (55555555).

It can be divided in two parts, 1331 and 4224, that added together give a palindrome (5555).

The spelling of 13314224 in words is "thirteen million, three hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 101 107 112 154 176 202 214 308 404 428 616 707 749 808 856 1111 1177 1232 1414 1498 1616 1712 2222 2354 2828 2996 4444 4708 5656 5992 7777 8239 8888 9416 10807 11312 11984 15554 16478 17776 18832 21614 31108 32956 43228 62216 65912 75649 86456 118877 124432 131824 151298 172912 237754 302596 475508 605192 832139 951016 1210384 1664278 1902032 3328556 6657112 13314224