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13225410 = 2335116173
BaseRepresentation
bin110010011100…
…110111000010
3220212220212000
4302130313002
511341203120
61151244430
7220262022
oct62346702
926786760
1013225410
1175134a0
124519716
1329809b3
141a83a82
151263990
hexc9cdc2

13225410 has 128 divisors (see below), whose sum is σ = 39640320. Its totient is φ = 3110400.

The previous prime is 13225409. The next prime is 13225423. The reversal of 13225410 is 1452231.

13225410 is nontrivially palindromic in base 7.

13225410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132254102 = 349822939336200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181134 + ... + 181206.

It is an arithmetic number, because the mean of its divisors is an integer number (309690).

Almost surely, 213225410 is an apocalyptic number.

13225410 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 13225410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820160).

13225410 is an abundant number, since it is smaller than the sum of its proper divisors (26414910).

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

13225410 is a wasteful number, since it uses less digits than its factorization.

13225410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13225410 is about 3636.6756797933. The cubic root of 13225410 is about 236.4846999952.

Adding to 13225410 its reverse (1452231), we get a palindrome (14677641).

The spelling of 13225410 in words is "thirteen million, two hundred twenty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 61 66 73 90 99 110 122 135 146 165 183 198 219 270 297 305 330 365 366 438 495 549 594 610 657 671 730 803 915 990 1095 1098 1314 1342 1485 1606 1647 1830 1971 2013 2190 2409 2745 2970 3285 3294 3355 3942 4015 4026 4453 4818 5490 6039 6570 6710 7227 8030 8235 8906 9855 10065 12045 12078 13359 14454 16470 18117 19710 20130 21681 22265 24090 26718 30195 36135 36234 40077 43362 44530 48983 60390 66795 72270 80154 90585 97966 108405 120231 133590 146949 181170 200385 216810 240462 244915 293898 400770 440847 489830 601155 734745 881694 1202310 1322541 1469490 2204235 2645082 4408470 6612705 13225410