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13223430 = 23251119237
BaseRepresentation
bin110010011100…
…011000000110
3220212211010200
4302130120012
511341122210
61151231330
7220253163
oct62343006
926784120
1013223430
117511a60
124518546
13297cb1c
141a8306a
1512630c0
hexc9c606

13223430 has 144 divisors (see below), whose sum is σ = 40654224. Its totient is φ = 2954880.

The previous prime is 13223423. The next prime is 13223437. The reversal of 13223430 is 3432231.

13223430 is a `hidden beast` number, since 1 + 322 + 343 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13223423) and next prime (13223437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357372 + ... + 357408.

It is an arithmetic number, because the mean of its divisors is an integer number (282321).

Almost surely, 213223430 is an apocalyptic number.

13223430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327112).

13223430 is an abundant number, since it is smaller than the sum of its proper divisors (27430794).

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

13223430 is a wasteful number, since it uses less digits than its factorization.

13223430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13223430 is about 3636.4034429639. The cubic root of 13223430 is about 236.4728978891.

Adding to 13223430 its reverse (3432231), we get a palindrome (16655661).

The spelling of 13223430 in words is "thirteen million, two hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 37 38 45 55 57 66 74 90 95 99 110 111 114 165 171 185 190 198 209 222 285 330 333 342 361 370 407 418 495 555 570 627 666 703 722 814 855 990 1045 1083 1110 1221 1254 1406 1665 1710 1805 1881 2035 2090 2109 2166 2442 3135 3249 3330 3515 3610 3663 3762 3971 4070 4218 5415 6105 6270 6327 6498 7030 7326 7733 7942 9405 10545 10830 11913 12210 12654 13357 15466 16245 18315 18810 19855 21090 23199 23826 26714 31635 32490 35739 36630 38665 39710 40071 46398 59565 63270 66785 69597 71478 77330 80142 115995 119130 120213 133570 139194 146927 178695 200355 231990 240426 293854 347985 357390 400710 440781 601065 695970 734635 881562 1202130 1322343 1469270 2203905 2644686 4407810 6611715 13223430