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13233220 = 22571113661
BaseRepresentation
bin110010011110…
…110001000100
3220220022120021
4302132301010
511341430340
61151344524
7220323550
oct62366104
926808507
1013233220
117519350
124522144
132984410
141a86860
151265e4a
hexc9ec44

13233220 has 96 divisors (see below), whose sum is σ = 37368576. Its totient is φ = 3801600.

The previous prime is 13233203. The next prime is 13233229. The reversal of 13233220 is 2233231.

It is a super-2 number, since 2×132332202 = 350236223136800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13233194 and 13233203.

It is not an unprimeable number, because it can be changed into a prime (13233229) by changing a digit.

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, 19690 + ... + 20350.

It is an arithmetic number, because the mean of its divisors is an integer number (389256).

Almost surely, 213233220 is an apocalyptic number.

13233220 is a gapful number since it is divisible by the number (10) 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 13233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18684288).

13233220 is an abundant number, since it is smaller than the sum of its proper divisors (24135356).

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

13233220 is a wasteful number, since it uses less digits than its factorization.

13233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 13233220 is about 3637.7493041715. The cubic root of 13233220 is about 236.5312412635.

Adding to 13233220 its reverse (2233231), we get a palindrome (15466451).

The spelling of 13233220 in words is "thirteen million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 661 715 770 910 1001 1322 1430 1540 1820 2002 2644 2860 3305 4004 4627 5005 6610 7271 8593 9254 10010 13220 14542 17186 18508 20020 23135 29084 34372 36355 42965 46270 50897 60151 72710 85930 92540 94523 101794 120302 145420 171860 189046 203588 240604 254485 300755 378092 472615 508970 601510 661661 945230 1017940 1203020 1323322 1890460 2646644 3308305 6616610 13233220