Search a number
-
+
2205812152 = 2317229167197
BaseRepresentation
bin1000001101111010…
…0000010110111000
312200201121212102101
42003132200112320
514004141442102
61002514113144
7105443044135
oct20336402670
95621555371
102205812152
11a3213a355
1251687b7b4
13291cb7cbb
1416cd5158c
15cd9b8e87
hex837a05b8

2205812152 has 96 divisors (see below), whose sum is σ = 4595421600. Its totient is φ = 991176704.

The previous prime is 2205812149. The next prime is 2205812159. The reversal of 2205812152 is 2512185022.

It is a super-2 number, since 2×22058121522 = 9731214499821742208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2205812152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205812159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11196918 + ... + 11197114.

It is an arithmetic number, because the mean of its divisors is an integer number (47868975).

Almost surely, 22205812152 is an apocalyptic number.

It is an amenable number.

2205812152 is an abundant number, since it is smaller than the sum of its proper divisors (2389609448).

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

2205812152 is a wasteful number, since it uses less digits than its factorization.

2205812152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 2205812152 is about 46966.0744793516. The cubic root of 2205812152 is about 1301.7357783741.

Adding to 2205812152 its reverse (2512185022), we get a palindrome (4717997174).

The spelling of 2205812152 in words is "two billion, two hundred five million, eight hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 167 197 232 289 334 394 493 578 668 788 986 1156 1336 1576 1972 2312 2839 3349 3944 4843 5678 5713 6698 8381 9686 11356 11426 13396 16762 19372 22712 22852 26792 32899 33524 38744 45704 48263 56933 65798 67048 82331 96526 97121 113866 131596 164662 193052 194242 227732 263192 329324 386104 388484 455464 559283 658648 776968 954071 1118566 1399627 1651057 1908142 2237132 2799254 3302114 3816284 4474264 5598508 6604228 7632568 9507811 11197016 13208456 16219207 19015622 32438414 38031244 64876828 76062488 129753656 275726519 551453038 1102906076 2205812152