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13950225 = 3452832
BaseRepresentation
bin110101001101…
…110100010001
3222020202010000
4311031310101
512032401400
61215000213
7226401132
oct65156421
928222100
1013950225
117969013
124809069
132b75893
141bd1c89
151358600
hexd4dd11

13950225 has 45 divisors (see below), whose sum is σ = 26155723. Its totient is φ = 7350480.

The previous prime is 13950203. The next prime is 13950229. The reversal of 13950225 is 52205931.

The square root of 13950225 is 3735.

It is a perfect power (a square), and thus also a powerful number.

13950225 is a `hidden beast` number, since 139 + 502 + 25 = 666.

13950225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5022081 + 8928144 = 2241^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 13950225 - 215 = 13917457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13950229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 168034 + ... + 168116.

Almost surely, 213950225 is an apocalyptic number.

13950225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13950225 is the 3735-th square number.

13950225 is the 1868-th centered octagonal number.

It is an amenable number.

13950225 is a deficient number, since it is larger than the sum of its proper divisors (12205498).

13950225 is an frugal number, since it uses more digits than its factorization.

13950225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The cubic root of 13950225 is about 240.7282566906.

The spelling of 13950225 in words is "thirteen million, nine hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 83 135 225 249 405 415 675 747 1245 2025 2075 2241 3735 6225 6723 6889 11205 18675 20667 33615 34445 56025 62001 103335 168075 172225 186003 310005 516675 558009 930015 1550025 2790045 4650075 13950225