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224074423225 = 5217255692
BaseRepresentation
bin1101000010101111100…
…0000101101110111001
3210102101010120002200001
43100223320011232321
512132401023020400
6250534404313001
722121526112552
oct3205370055671
9712333502601
10224074423225
1187036196744
12375160a2761
131818cb75413
14abb9571329
155c66c66a6a
hex342be05bb9

224074423225 has 27 divisors (see below), whose sum is σ = 295210973127. Its totient is φ = 168684564480.

The previous prime is 224074423217. The next prime is 224074423229. The reversal of 224074423225 is 522324470422.

The square root of 224074423225 is 473365.

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

It can be written as a sum of positive squares in 13 ways, for example, as 154105708969 + 69968714256 = 392563^2 + 264516^2 .

It is not a de Polignac number, because 224074423225 - 23 = 224074423217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224074423229) 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, 40233241 + ... + 40238809.

Almost surely, 2224074423225 is an apocalyptic number.

224074423225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

224074423225 is the 473365-th square number.

224074423225 is the 236683-rd centered octagonal number.

It is an amenable number.

224074423225 is a deficient number, since it is larger than the sum of its proper divisors (71136549902).

224074423225 is an frugal number, since it uses more digits than its factorization.

224074423225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 37.

Adding to 224074423225 its reverse (522324470422), we get a palindrome (746398893647).

The spelling of 224074423225 in words is "two hundred twenty-four billion, seventy-four million, four hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 5569 7225 27845 94673 139225 473365 1609441 2366825 8047205 31013761 40236025 155068805 527233937 775344025 2636169685 8962976929 13180848425 44814884645 224074423225