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2206682240 = 2757492563
BaseRepresentation
bin1000001110000111…
…0100110010000000
312200210021001221212
42003201310302000
514004402312430
61002544505252
7105453326630
oct20341646200
95623231855
102206682240
11a32684034
1251701b228
13292231049
1416d0da6c0
15cdadbb95
hex83874c80

2206682240 has 64 divisors (see below), whose sum is σ = 6028983360. Its totient is φ = 756575232.

The previous prime is 2206682227. The next prime is 2206682321. The reversal of 2206682240 is 422866022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2206682197 and 2206682206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241802 + ... + 250761.

It is an arithmetic number, because the mean of its divisors is an integer number (94202865).

Almost surely, 22206682240 is an apocalyptic number.

2206682240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2206682240 is an abundant number, since it is smaller than the sum of its proper divisors (3822301120).

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

2206682240 is an equidigital number, since it uses as much as digits as its factorization.

2206682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492589 (or 492577 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2206682240 is about 46975.3365075760. The cubic root of 2206682240 is about 1301.9069134954.

The spelling of 2206682240 in words is "two billion, two hundred six million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 492563 985126 1970252 2462815 3447941 3940504 4925630 6895882 7881008 9851260 13791764 15762016 17239705 19702520 27583528 31524032 34479410 39405040 55167056 63048064 68958820 78810080 110334112 137917640 157620160 220668224 275835280 315240320 441336448 551670560 1103341120 2206682240