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2220402044256 = 2531110120818351
BaseRepresentation
bin100000010011111010010…
…001100110110101100000
321212021020122011202202020
4200103322101212311200
5242334340410404011
64420012201421440
7316263426653454
oct40237221466540
97767218152666
102220402044256
11786738082890
122ba3b419a880
131314c9637086
147967a3d0664
153cb57637006
hex204fa466d60

2220402044256 has 96 divisors (see below), whose sum is σ = 6421379037696. Its totient is φ = 666187200000.

The previous prime is 2220402044243. The next prime is 2220402044317. The reversal of 2220402044256 is 6524402040222.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10302520 + ... + 10515831.

It is an arithmetic number, because the mean of its divisors is an integer number (66889364976).

Almost surely, 22220402044256 is an apocalyptic number.

It is an amenable number.

2220402044256 is an abundant number, since it is smaller than the sum of its proper divisors (4200976993440).

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

2220402044256 is a wasteful number, since it uses less digits than its factorization.

2220402044256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20818476 (or 20818468 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 2220402044256 its reverse (6524402040222), we get a palindrome (8744804084478).

The spelling of 2220402044256 in words is "two trillion, two hundred twenty billion, four hundred two million, forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 808 1056 1111 1212 1616 2222 2424 3232 3333 4444 4848 6666 8888 9696 13332 17776 26664 35552 53328 106656 20818351 41636702 62455053 83273404 124910106 166546808 229001861 249820212 333093616 458003722 499640424 666187232 687005583 916007444 999280848 1374011166 1832014888 1998561696 2102653451 2748022332 3664029776 4205306902 5496044664 6307960353 7328059552 8410613804 10992089328 12615920706 16821227608 21984178656 23129187961 25231841412 33642455216 46258375922 50463682824 67284910432 69387563883 92516751844 100927365648 138775127766 185033503688 201854731296 277550255532 370067007376 555100511064 740134014752 1110201022128 2220402044256