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31352014225 = 527250592
BaseRepresentation
bin11101001100101110…
…011100010110010001
32222220222100100020001
4131030232130112101
51003202103423400
622223010250001
72156634503200
oct351456342621
988828310201
1031352014225
1112329438364
1260ab886901
132c5851220c
141735c29237
15c37690a6a
hex74cb9c591

31352014225 has 27 divisors (see below), whose sum is σ = 45232621947. Its totient is φ = 21494274480.

The previous prime is 31352014223. The next prime is 31352014229. The reversal of 31352014225 is 52241025313.

The square root of 31352014225 is 177065.

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

It can be written as a sum of positive squares in only one way, i.e., 11286725121 + 20065289104 = 106239^2 + 141652^2 .

It is not a de Polignac number, because 31352014225 - 21 = 31352014223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31352014193 and 31352014202.

It is not an unprimeable number, because it can be changed into a prime (31352014223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6194746 + ... + 6199804.

Almost surely, 231352014225 is an apocalyptic number.

31352014225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31352014225 is the 177065-th square number.

31352014225 is the 88533-rd centered octagonal number.

It is an amenable number.

31352014225 is a deficient number, since it is larger than the sum of its proper divisors (13880607722).

31352014225 is an frugal number, since it uses more digits than its factorization.

31352014225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 31352014225 its reverse (52241025313), we get a palindrome (83593039538).

The spelling of 31352014225 in words is "thirty-one billion, three hundred fifty-two million, fourteen thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 5059 25295 35413 126475 177065 247891 885325 1239455 6197275 25593481 127967405 179154367 639837025 895771835 1254080569 4478859175 6270402845 31352014225