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2210906016 = 25341177543
BaseRepresentation
bin1000001111000111…
…1011111110100000
312201002012122220000
42003301323332200
514011442443031
61003215220000
7105534251064
oct20361737640
95632178800
102210906016
11a34aa9460
12518517600
1329307c717
1416d8b9aa4
15ce1733e6
hex83c7bfa0

2210906016 has 120 divisors (see below), whose sum is σ = 7093414944. Its totient is φ = 669962880.

The previous prime is 2210905993. The next prime is 2210906053. The reversal of 2210906016 is 6106090122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10260 + ... + 67283.

Almost surely, 22210906016 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 2210906016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546707472).

2210906016 is an abundant number, since it is smaller than the sum of its proper divisors (4882508928).

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

2210906016 is a wasteful number, since it uses less digits than its factorization.

2210906016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77576 (or 77559 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2210906016 is about 47020.2723939366. The cubic root of 2210906016 is about 1302.7370373058.

Adding to 2210906016 its reverse (6106090122), we get a palindrome (8316996138).

The spelling of 2210906016 in words is "two billion, two hundred ten million, nine hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 77543 155086 232629 310172 465258 620344 697887 852973 930516 1240688 1395774 1705946 1861032 2093661 2481376 2558919 2791548 3411892 3722064 4187322 5117838 5583096 6280983 6823784 7444128 7676757 8374644 10235676 11166192 12561966 13647568 15353514 16749288 20471352 22332384 23030271 25123932 27295136 30707028 33498576 40942704 46060542 50247864 61414056 66997152 69090813 81885408 92121084 100495728 122828112 138181626 184242168 200991456 245656224 276363252 368484336 552726504 736968672 1105453008 2210906016