Search a number
-
+
2202356256 = 253173473889
BaseRepresentation
bin1000001101000101…
…0100101000100000
312200111010021211020
42003101110220200
514002300400011
61002312045440
7105401501502
oct20321245040
95614107736
102202356256
11a30199941
12515693880
13291377ca9
1416c6d1d72
15cd535006
hex83454a20

2202356256 has 96 divisors (see below), whose sum is σ = 6140473920. Its totient is φ = 688766976.

The previous prime is 2202356243. The next prime is 2202356257. The reversal of 2202356256 is 6526532022.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2202356257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564360 + ... + 568248.

It is an arithmetic number, because the mean of its divisors is an integer number (63963270).

Almost surely, 22202356256 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 2202356256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070236960).

2202356256 is an abundant number, since it is smaller than the sum of its proper divisors (3938117664).

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

2202356256 is a wasteful number, since it uses less digits than its factorization.

2202356256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 2202356256 is about 46929.2686497457. The cubic root of 2202356256 is about 1301.0556033648.

Adding to 2202356256 its reverse (6526532022), we get a palindrome (8728888278).

The spelling of 2202356256 in words is "two billion, two hundred two million, three hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 347 408 544 694 816 1041 1388 1632 2082 2776 3889 4164 5552 5899 7778 8328 11104 11667 11798 15556 16656 17697 23334 23596 31112 33312 35394 46668 47192 62224 66113 70788 93336 94384 124448 132226 141576 186672 188768 198339 264452 283152 373344 396678 528904 566304 793356 1057808 1349483 1586712 2115616 2698966 3173424 4048449 5397932 6346848 8096898 10795864 16193796 21591728 22941211 32387592 43183456 45882422 64775184 68823633 91764844 129550368 137647266 183529688 275294532 367059376 550589064 734118752 1101178128 2202356256