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2198235580 = 225238775449
BaseRepresentation
bin1000001100000110…
…0110100110111100
312200012100221022121
42003001212212330
514000222014310
61002043452324
7105321460042
oct20301464674
95605327277
102198235580
11a28934a22
125142270a4
13290564518
1416bd3c392
15ccebe0da
hex830669bc

2198235580 has 48 divisors (see below), whose sum is σ = 4823380800. Its totient is φ = 839950848.

The previous prime is 2198235577. The next prime is 2198235581. The reversal of 2198235580 is 855328912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198235581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400696 + ... + 406144.

It is an arithmetic number, because the mean of its divisors is an integer number (100487100).

Almost surely, 22198235580 is an apocalyptic number.

2198235580 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 2198235580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411690400).

2198235580 is an abundant number, since it is smaller than the sum of its proper divisors (2625145220).

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

2198235580 is a wasteful number, since it uses less digits than its factorization.

2198235580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 2198235580 is about 46885.3450451204. The cubic root of 2198235580 is about 1300.2436584704.

The spelling of 2198235580 in words is "two billion, one hundred ninety-eight million, two hundred thirty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 877 1754 3508 4385 5449 8770 10898 17540 20171 21796 27245 40342 54490 80684 100855 108980 125327 201710 250654 403420 501308 626635 1253270 2506540 4778773 9557546 19115092 23893865 47787730 95575460 109911779 219823558 439647116 549558895 1099117790 2198235580