Search a number
-
+
2205402656 = 251719239277
BaseRepresentation
bin1000001101110011…
…1100011000100000
312200200212001200212
42003130330120200
514004040341111
61002501233252
7105436420232
oct20334743040
95620761625
102205402656
11a3198a726
12516702828
13291ba37b2
1416cc86252
15cd93798b
hex8373c620

2205402656 has 96 divisors (see below), whose sum is σ = 5050200960. Its totient is φ = 940363776.

The previous prime is 2205402653. The next prime is 2205402671. The reversal of 2205402656 is 6562045022.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2205402653) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 233090 + ... + 242366.

It is an arithmetic number, because the mean of its divisors is an integer number (52606260).

Almost surely, 22205402656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205402656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525100480).

2205402656 is an abundant number, since it is smaller than the sum of its proper divisors (2844798304).

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

2205402656 is a wasteful number, since it uses less digits than its factorization.

2205402656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9346 (or 9338 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2205402656 is about 46961.7147898158. The cubic root of 2205402656 is about 1301.6552202021.

Adding to 2205402656 its reverse (6562045022), we get a palindrome (8767447678).

The spelling of 2205402656 in words is "two billion, two hundred five million, four hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 19 23 32 34 38 46 68 76 92 136 152 184 272 304 323 368 391 437 544 608 646 736 782 874 1292 1564 1748 2584 3128 3496 5168 6256 6992 7429 9277 10336 12512 13984 14858 18554 29716 37108 59432 74216 118864 148432 157709 176263 213371 237728 296864 315418 352526 426742 630836 705052 853484 1261672 1410104 1706968 2523344 2820208 2996471 3413936 3627307 4054049 5046688 5640416 5992942 6827872 7254614 8108098 11985884 14509228 16216196 23971768 29018456 32432392 47943536 58036912 64864784 68918833 95887072 116073824 129729568 137837666 275675332 551350664 1102701328 2205402656