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13221468 = 2234134373
BaseRepresentation
bin110010011011…
…111001011100
3220212201110000
4302123321130
511341041333
61151214300
7220244361
oct62337134
926781400
1013221468
117510537
124517390
13297bc70
141a82468
151262713
hexc9be5c

13221468 has 120 divisors (see below), whose sum is σ = 38609648. Its totient is φ = 3919104.

The previous prime is 13221457. The next prime is 13221479. The reversal of 13221468 is 86412231.

It is an interprime number because it is at equal distance from previous prime (13221457) and next prime (13221479).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181080 + ... + 181152.

Almost surely, 213221468 is an apocalyptic number.

13221468 is a gapful number since it is divisible by the number (18) 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 13221468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19304824).

13221468 is an abundant number, since it is smaller than the sum of its proper divisors (25388180).

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

13221468 is a wasteful number, since it uses less digits than its factorization.

13221468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 13221468 is about 3636.1336609096. The cubic root of 13221468 is about 236.4612019128.

Adding to 13221468 its reverse (86412231), we get a palindrome (99633699).

It can be divided in two parts, 13221 and 468, that added together give a square (13689 = 1172).

The spelling of 13221468 in words is "thirteen million, two hundred twenty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 73 78 81 86 108 117 129 146 156 162 172 219 234 258 292 324 351 387 438 468 516 559 657 702 774 876 949 1053 1118 1161 1314 1404 1548 1677 1898 1971 2106 2236 2322 2628 2847 3139 3354 3483 3796 3942 4212 4644 5031 5694 5913 6278 6708 6966 7884 8541 9417 10062 11388 11826 12556 13932 15093 17082 18834 20124 23652 25623 28251 30186 34164 37668 40807 45279 51246 56502 60372 76869 81614 84753 90558 102492 113004 122421 153738 163228 169506 181116 244842 254259 307476 339012 367263 489684 508518 734526 1017036 1101789 1469052 2203578 3305367 4407156 6610734 13221468