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13305222 = 23573911
BaseRepresentation
bin110010110000…
…010110000110
3221000222100000
4302300112012
511401231342
61153102130
7221043510
oct62602606
927028300
1013305222
117568457
124557946
1329ab118
141aa4bb0
15127c44c
hexcb0586

13305222 has 48 divisors (see below), whose sum is σ = 34175232. Its totient is φ = 3800520.

The previous prime is 13305221. The next prime is 13305223. The reversal of 13305222 is 22250331.

It is an interprime number because it is at equal distance from previous prime (13305221) and next prime (13305223).

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

It is a junction number, because it is equal to n+sod(n) for n = 13305195 and 13305204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1447 + ... + 5357.

It is an arithmetic number, because the mean of its divisors is an integer number (711984).

Almost surely, 213305222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087616).

13305222 is an abundant number, since it is smaller than the sum of its proper divisors (20870010).

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

13305222 is an equidigital number, since it uses as much as digits as its factorization.

13305222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13305222 is about 3647.6323827930. The cubic root of 13305222 is about 236.9594546888.

Adding to 13305222 its reverse (22250331), we get a palindrome (35555553).

The spelling of 13305222 in words is "thirteen million, three hundred five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 3911 7822 11733 23466 27377 35199 54754 70398 82131 105597 164262 211194 246393 316791 492786 633582 739179 950373 1478358 1900746 2217537 4435074 6652611 13305222