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892014136225 = 5247240192
BaseRepresentation
bin11001111101100000010…
…11111000101110100001
310011021102222222011120221
430332300023320232201
5104103321104324400
61521441410403041
7121305641024602
oct14766013705641
93137388864527
10892014136225
113143347a8183
12124a65890481
1366169155424
143126095bda9
151830b3c4c1a
hexcfb02f8ba1

892014136225 has 27 divisors (see below), whose sum is σ = 1130413509427. Its totient is φ = 698254308080.

The previous prime is 892014136207. The next prime is 892014136229. The reversal of 892014136225 is 522631410298.

The square root of 892014136225 is 944465.

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., 321125089041 + 570889047184 = 566679^2 + 755572^2 .

It is not a de Polignac number, because 892014136225 - 215 = 892014103457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (892014136229) 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, 221947266 + ... + 221951284.

Almost surely, 2892014136225 is an apocalyptic number.

892014136225 is the 944465-th square number.

892014136225 is the 472233-rd centered octagonal number.

It is an amenable number.

892014136225 is a deficient number, since it is larger than the sum of its proper divisors (238399373202).

892014136225 is an frugal number, since it uses more digits than its factorization.

892014136225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 892014136225 in words is "eight hundred ninety-two billion, fourteen million, one hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 1175 2209 4019 11045 20095 55225 100475 188893 944465 4722325 8877971 16152361 44389855 80761805 221949275 403809025 759160967 3795804835 18979024175 35680565449 178402827245 892014136225