Search a number
-
+
2197751789288 = 23113227909253
BaseRepresentation
bin11111111110110100001…
…101101111011011101000
321210002210002201121011002
4133332310031233123220
5242001443424224123
64401344440054132
7314532223656626
oct37766415573350
97702702647132
102197751789288
11778074654000
122b5b32764348
1312c329b72043
147852c144516
153c27ddb0528
hex1ffb436f6e8

2197751789288 has 64 divisors (see below), whose sum is σ = 4552525667520. Its totient is φ = 994576207680.

The previous prime is 2197751789251. The next prime is 2197751789309. The reversal of 2197751789288 is 8829871577912.

It is a happy number.

It is a super-2 number, since 2×21977517892882 (a number of 25 digits) contains 22 as substring.

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, 1962470 + ... + 2871722.

It is an arithmetic number, because the mean of its divisors is an integer number (71133213555).

Almost surely, 22197751789288 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 2197751789288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276262833760).

2197751789288 is an abundant number, since it is smaller than the sum of its proper divisors (2354773878232).

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

2197751789288 is a wasteful number, since it uses less digits than its factorization.

2197751789288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909519 (or 909493 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 74.

The spelling of 2197751789288 in words is "two trillion, one hundred ninety-seven billion, seven hundred fifty-one million, seven hundred eighty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 227 242 454 484 908 968 1331 1816 2497 2662 4994 5324 9988 10648 19976 27467 54934 109868 219736 302137 604274 909253 1208548 1818506 2417096 3637012 7274024 10001783 20003566 40007132 80014264 110019613 206400431 220039226 412800862 440078452 825601724 880156904 1210215743 1651203448 2270404741 2420431486 4540809482 4840862972 9081618964 9681725944 18163237928 24974452151 49948904302 99897808604 199795617208 274718973661 549437947322 1098875894644 2197751789288