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221445125 = 53116
BaseRepresentation
bin11010011001011…
…11110000000101
3120102200120121022
431030233300011
5423142221000
633550200525
75326152416
oct1514576005
9512616538
10221445125
11104000000
12621b3145
1336b55425
14215a580d
1514693585
hexd32fc05

221445125 has 28 divisors (see below), whose sum is σ = 303999852. Its totient is φ = 161051000.

The previous prime is 221445109. The next prime is 221445181. The reversal of 221445125 is 521544122.

The cubic root of 221445125 is 605.

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

221445125 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 2 ways, for example, as 7086244 + 214358881 = 2662^2 + 14641^2 .

It is not a de Polignac number, because 221445125 - 24 = 221445109 is a prime.

It is a Duffinian number.

Its product of digits (3200) is a multiple of the sum of its prime divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 221445094 and 221445103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20131370 + ... + 20131380.

Almost surely, 2221445125 is an apocalyptic number.

221445125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221445125 is a deficient number, since it is larger than the sum of its proper divisors (82554727).

221445125 is an frugal number, since it uses more digits than its factorization.

221445125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 16 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 221445125 is about 14881.0323902611.

Adding to 221445125 its reverse (521544122), we get a palindrome (742989247).

The spelling of 221445125 in words is "two hundred twenty-one million, four hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 1331 1375 3025 6655 14641 15125 33275 73205 161051 166375 366025 805255 1771561 1830125 4026275 8857805 20131375 44289025 221445125