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10144225 = 5274132
BaseRepresentation
bin100110101100…
…100111100001
3201002101021001
4212230213201
510044103400
61001232001
7152140000
oct46544741
921071231
1010144225
1157a9563
123492601
132142400
1414c0c37
15d55a6a
hex9ac9e1

10144225 has 45 divisors (see below), whose sum is σ = 15890073. Its totient is φ = 6420960.

The previous prime is 10144217. The next prime is 10144231. The reversal of 10144225 is 52244101.

The square root of 10144225 is 3185.

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

10144225 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 4 ways, for example, as 2614689 + 7529536 = 1617^2 + 2744^2 .

It is not a de Polignac number, because 10144225 - 23 = 10144217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 780319 + ... + 780331.

Almost surely, 210144225 is an apocalyptic number.

10144225 is the 3185-th square number.

10144225 is the 1593-rd centered octagonal number.

It is an amenable number.

10144225 is a deficient number, since it is larger than the sum of its proper divisors (5745848).

10144225 is an frugal number, since it uses more digits than its factorization.

10144225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The cubic root of 10144225 is about 216.4742736562.

Adding to 10144225 its reverse (52244101), we get a palindrome (62388326).

The spelling of 10144225 in words is "ten million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 343 455 637 845 1183 1225 1715 2275 2401 3185 4225 4459 5915 8281 8575 12005 15925 22295 29575 31213 41405 57967 60025 111475 156065 207025 289835 405769 780325 1449175 2028845 10144225