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13225400 = 235289743
BaseRepresentation
bin110010011100…
…110110111000
3220212220211122
4302130312320
511341203100
61151244412
7220262006
oct62346670
926786748
1013225400
117513491
124519708
1329809a6
141a83a76
151263985
hexc9cdb8

13225400 has 48 divisors (see below), whose sum is σ = 31136400. Its totient is φ = 5223680.

The previous prime is 13225397. The next prime is 13225403. The reversal of 13225400 is 452231.

It is an interprime number because it is at equal distance from previous prime (13225397) and next prime (13225403).

It is a super-2 number, since 2×132254002 = 349822410320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13225403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17429 + ... + 18171.

It is an arithmetic number, because the mean of its divisors is an integer number (648675).

Almost surely, 213225400 is an apocalyptic number.

13225400 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 13225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568200).

13225400 is an abundant number, since it is smaller than the sum of its proper divisors (17911000).

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

13225400 is a wasteful number, since it uses less digits than its factorization.

13225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 13225400 is about 3636.6743049110. The cubic root of 13225400 is about 236.4846403915.

Adding to 13225400 its reverse (452231), we get a palindrome (13677631).

It can be divided in two parts, 13225 and 400, that multiplied together give a square (5290000 = 23002).

The spelling of 13225400 in words is "thirteen million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 743 890 1486 1780 2225 2972 3560 3715 4450 5944 7430 8900 14860 17800 18575 29720 37150 66127 74300 132254 148600 264508 330635 529016 661270 1322540 1653175 2645080 3306350 6612700 13225400