Search a number
-
+
2207684196 = 22324121912
BaseRepresentation
bin1000001110010110…
…1001011001100100
312200212010222101100
42003211221121210
514010131343241
61003022200100
7105465002034
oct20345513144
95625128340
102207684196
11a331a88a3
12517423030
132924c2113
1416d2bb8c4
15cdc389b6
hex83969664

2207684196 has 81 divisors (see below), whose sum is σ = 5750069689. Its totient is φ = 714187200.

The previous prime is 2207684191. The next prime is 2207684261. The reversal of 2207684196 is 6914867022.

It is a happy number.

The square root of 2207684196 is 46986.

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

2207684196 is a `hidden beast` number, since 220 + 7 + 6 + 8 + 419 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106378596 + 2101305600 = 10314^2 + 45840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2207684191) 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, 11558461 + ... + 11558651.

Almost surely, 22207684196 is an apocalyptic number.

2207684196 is the 46986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2207684196

2207684196 is an abundant number, since it is smaller than the sum of its proper divisors (3542385493).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2207684196 is a wasteful number, since it uses less digits than its factorization.

2207684196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 2207684196 is about 1302.1039296369.

The spelling of 2207684196 in words is "two billion, two hundred seven million, six hundred eighty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 191 246 369 382 492 573 738 764 1146 1476 1681 1719 2292 3362 3438 5043 6724 6876 7831 10086 15129 15662 20172 23493 30258 31324 36481 46986 60516 70479 72962 93972 109443 140958 145924 218886 281916 321071 328329 437772 642142 656658 963213 1284284 1313316 1495721 1926426 2889639 2991442 3852852 4487163 5779278 5982884 8974326 11558556 13461489 17948652 26922978 53845956 61324561 122649122 183973683 245298244 367947366 551921049 735894732 1103842098 2207684196