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2194582020 = 22351710919739
BaseRepresentation
bin1000001011001110…
…1010101000000100
312122221111022120120
42002303222220010
513443303111040
61001433301540
7105245432211
oct20263525004
95587438516
102194582020
11a26869a54
12512b648b0
1328c885557
1416b66ab08
15cc9eb7d0
hex82ceaa04

2194582020 has 96 divisors (see below), whose sum is σ = 6566313600. Its totient is φ = 545716224.

The previous prime is 2194581979. The next prime is 2194582021. The reversal of 2194582020 is 202854912.

It is a super-3 number, since 3×21945820203 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2194582021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101311 + ... + 121049.

It is an arithmetic number, because the mean of its divisors is an integer number (68399100).

Almost surely, 22194582020 is an apocalyptic number.

2194582020 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 2194582020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283156800).

2194582020 is an abundant number, since it is smaller than the sum of its proper divisors (4371731580).

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

2194582020 is a wasteful number, since it uses less digits than its factorization.

2194582020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19877 (or 19875 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2194582020 is about 46846.3661344186. The cubic root of 2194582020 is about 1299.5229057978.

The spelling of 2194582020 in words is "two billion, one hundred ninety-four million, five hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 109 170 204 218 255 327 340 436 510 545 654 1020 1090 1308 1635 1853 2180 3270 3706 5559 6540 7412 9265 11118 18530 19739 22236 27795 37060 39478 55590 59217 78956 98695 111180 118434 197390 236868 296085 335563 394780 592170 671126 1006689 1184340 1342252 1677815 2013378 2151551 3355630 4026756 4303102 5033445 6454653 6711260 8606204 10066890 10757755 12909306 20133780 21515510 25818612 32273265 36576367 43031020 64546530 73152734 109729101 129093060 146305468 182881835 219458202 365763670 438916404 548645505 731527340 1097291010 2194582020