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2146932225 = 325230892
BaseRepresentation
bin111111111110111…
…1001011000000001
312112121211110100100
41333331321120001
513344103312400
6553012113013
7104126423424
oct17775713001
95477743310
102146932225
11a01983a59
124bb005769
13282a40ac9
141651c59bb
15c8738100
hex7ff79601

2146932225 has 27 divisors (see below), whose sum is σ = 3846639433. Its totient is φ = 1144659840.

The previous prime is 2146932211. The next prime is 2146932283. The reversal of 2146932225 is 5222396412.

The square root of 2146932225 is 46335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 258855921 + 1888076304 = 16089^2 + 43452^2 .

It is not a de Polignac number, because 2146932225 - 27 = 2146932097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2146932225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 693481 + ... + 696569.

Almost surely, 22146932225 is an apocalyptic number.

2146932225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2146932225 is the 46335-th square number.

2146932225 is the 23168-th centered octagonal number.

It is an amenable number.

2146932225 is a deficient number, since it is larger than the sum of its proper divisors (1699707208).

2146932225 is an frugal number, since it uses more digits than its factorization.

2146932225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 3097 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 2146932225 is about 1290.0487181889.

Multiplying 2146932225 by its sum of digits (36), we get a square (77289560100 = 2780102).

The spelling of 2146932225 in words is "two billion, one hundred forty-six million, nine hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3089 9267 15445 27801 46335 77225 139005 231675 695025 9541921 28625763 47709605 85877289 143128815 238548025 429386445 715644075 2146932225