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2293931025 = 32523121032
BaseRepresentation
bin1000100010111010…
…1001110000010001
312220212102202210100
42020232221300101
514144221243100
61015342523013
7110563043361
oct21056516021
95825382710
102293931025
11a77956371
12540296469
132a732b949
1417a92c9a1
15d65c3400
hex88ba9c11

2293931025 has 81 divisors (see below), whose sum is σ = 4287117627. Its totient is φ = 1172469600.

The previous prime is 2293931011. The next prime is 2293931063. The reversal of 2293931025 is 5201393922.

2293931025 = 13 + 23 + ... + 3093.

The square root of 2293931025 is 47895.

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., 825815169 + 1468115856 = 28737^2 + 38316^2 .

It is not a de Polignac number, because 2293931025 - 211 = 2293928977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22271124 + ... + 22271226.

Almost surely, 22293931025 is an apocalyptic number.

2293931025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2293931025 is the 47895-th square number.

2293931025 is the 23948-th centered octagonal number.

It is an amenable number.

2293931025 is a deficient number, since it is larger than the sum of its proper divisors (1993186602).

2293931025 is a wasteful number, since it uses less digits than its factorization.

2293931025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 2293931025 is about 1318.8440724129.

Multiplying 2293931025 by its sum of digits (36), we get a square (82581516900 = 2873702).

The spelling of 2293931025 in words is "two billion, two hundred ninety-three million, nine hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 103 155 225 279 309 465 515 775 927 961 1395 1545 2325 2575 2883 3193 4635 4805 6975 7725 8649 9579 10609 14415 15965 23175 24025 28737 31827 43245 47895 53045 72075 79825 95481 98983 143685 159135 216225 239475 265225 296949 328879 477405 494915 718425 795675 890847 986637 1484745 1644395 2387025 2474575 2959911 4454235 4933185 7423725 8221975 10195249 14799555 22271175 24665925 30585747 50976245 73997775 91757241 152928735 254881225 458786205 764643675 2293931025