Search a number
-
+
2196328225 = 52721321032
BaseRepresentation
bin1000001011101001…
…0100111100100001
312200001210000220211
42002322110330201
513444230000400
61001534534121
7105266324200
oct20272247441
95601700824
102196328225
11a278519a3
12513667341
13290047300
1416b9a3237
15ccc43dba
hex82e94f21

2196328225 has 81 divisors (see below), whose sum is σ = 3464166393. Its totient is φ = 1376706240.

The previous prime is 2196328193. The next prime is 2196328231. The reversal of 2196328225 is 5228236912.

The square root of 2196328225 is 46865.

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 566106849 + 1630221376 = 23793^2 + 40376^2 .

It is not a de Polignac number, because 2196328225 - 25 = 2196328193 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (103680) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21323524 + ... + 21323626.

Almost surely, 22196328225 is an apocalyptic number.

2196328225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2196328225 is the 46865-th square number.

2196328225 is the 23433-rd centered octagonal number.

It is an amenable number.

2196328225 is a deficient number, since it is larger than the sum of its proper divisors (1267838168).

2196328225 is a wasteful number, since it uses less digits than its factorization.

2196328225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The cubic root of 2196328225 is about 1299.8674864929.

The spelling of 2196328225 in words is "two billion, one hundred ninety-six million, three hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 103 169 175 245 325 455 515 637 721 845 1183 1225 1339 2275 2575 3185 3605 4225 5047 5915 6695 8281 9373 10609 15925 17407 18025 25235 29575 33475 41405 46865 53045 65611 74263 87035 121849 126175 137917 207025 234325 265225 328055 371315 435175 519841 609245 689585 852943 965419 1640275 1792921 1856575 2599205 3046225 3447925 4264715 4827095 6757933 8964605 12550447 12996025 21323575 24135475 33789665 44823025 62752235 87853129 168948325 313761175 439265645 2196328225