Search a number
-
+
225724225105 = 5415281208501
BaseRepresentation
bin1101001000111000110…
…1100101011001010001
3210120122002221201101101
43102032031211121101
512144240400200410
6251410221304401
722210441153561
oct3221615453121
9716562851341
10225724225105
1187802493275
12378b6705101
13183938c7352
14acd470ada1
155d11a01d3a
hex348e365651

225724225105 has 16 divisors (see below), whose sum is σ = 277529506128. Its totient is φ = 176140800000.

The previous prime is 225724225037. The next prime is 225724225109. The reversal of 225724225105 is 501522427522.

It can be written as a sum of positive squares in 8 ways, for example, as 76815448336 + 148908776769 = 277156^2 + 385887^2 .

It is not a de Polignac number, because 225724225105 - 27 = 225724224977 is a prime.

It is a super-2 number, since 2×2257242251052 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225724225109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978355 + ... + 1186855.

It is an arithmetic number, because the mean of its divisors is an integer number (17345594133).

Almost surely, 2225724225105 is an apocalyptic number.

It is an amenable number.

225724225105 is a deficient number, since it is larger than the sum of its proper divisors (51805281023).

225724225105 is a wasteful number, since it uses less digits than its factorization.

225724225105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213828.

The product of its (nonzero) digits is 112000, while the sum is 37.

The spelling of 225724225105 in words is "two hundred twenty-five billion, seven hundred twenty-four million, two hundred twenty-five thousand, one hundred five".

Divisors: 1 5 41 205 5281 26405 208501 216521 1042505 1082605 8548541 42742705 1101093781 5505468905 45144845021 225724225105