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2200826680 = 2351334712197
BaseRepresentation
bin1000001100101101…
…1111001100111000
312200101020120122021
42003023133030320
514001402423210
61002215204224
7105352501213
oct20313371470
95611216567
102200826680
11a2a344728
12515076674
13290c60a10
1416c41477a
15cd331bda
hex832df338

2200826680 has 64 divisors (see below), whose sum is σ = 5348579040. Its totient is φ = 810204672.

The previous prime is 2200826669. The next prime is 2200826699. The reversal of 2200826680 is 866280022.

2200826680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 174342 + ... + 186538.

Almost surely, 22200826680 is an apocalyptic number.

2200826680 is a gapful number since it is divisible by the number (20) 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 2200826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674289520).

2200826680 is an abundant number, since it is smaller than the sum of its proper divisors (3147752360).

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

2200826680 is a wasteful number, since it uses less digits than its factorization.

2200826680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12568 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2200826680 is about 46912.9692089512. The cubic root of 2200826680 is about 1300.7543314416.

The spelling of 2200826680 in words is "two billion, two hundred million, eight hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 347 520 694 1388 1735 2776 3470 4511 6940 9022 12197 13880 18044 22555 24394 36088 45110 48788 60985 90220 97576 121970 158561 180440 243940 317122 487880 634244 792805 1268488 1585610 3171220 4232359 6342440 8464718 16929436 21161795 33858872 42323590 55020667 84647180 110041334 169294360 220082668 275103335 440165336 550206670 1100413340 2200826680