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2211801696 = 2532132291567
BaseRepresentation
bin1000001111010101…
…0110101001100000
312201010220011112100
42003311112221200
514012210123241
61003250330400
7105545001306
oct20365265140
95633804470
102211801696
11a35560395
12518889a00
13293304300
1416da70276
15ce29d9b6
hex83d56a60

2211801696 has 216 divisors, whose sum is σ = 7050214080. Its totient is φ = 656667648.

The previous prime is 2211801673. The next prime is 2211801737. The reversal of 2211801696 is 6961081122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2211801696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1410705 + ... + 1412271.

It is an arithmetic number, because the mean of its divisors is an integer number (32639880).

Almost surely, 22211801696 is an apocalyptic number.

2211801696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211801696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525107040).

2211801696 is an abundant number, since it is smaller than the sum of its proper divisors (4838412384).

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

2211801696 is a wasteful number, since it uses less digits than its factorization.

2211801696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2211801696 is about 47029.7958320042. The cubic root of 2211801696 is about 1302.9129347233.

The spelling of 2211801696 in words is "two billion, two hundred eleven million, eight hundred one thousand, six hundred ninety-six".