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2194768200 = 2335216992153
BaseRepresentation
bin1000001011010001…
…1000000101001000
312122221211202222010
42002310120011020
513443330040300
61001441255520
7105250136052
oct20264300510
95587752863
102194768200
11a26986919
125130345a0
1328c91c211
1416b6b88d2
15cca36a50
hex82d18148

2194768200 has 96 divisors (see below), whose sum is σ = 6810948000. Its totient is φ = 584655360.

The previous prime is 2194768189. The next prime is 2194768201. The reversal of 2194768200 is 28674912.

It is not an unprimeable number, because it can be changed into a prime (2194768201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018324 + ... + 1020476.

It is an arithmetic number, because the mean of its divisors is an integer number (70947375).

Almost surely, 22194768200 is an apocalyptic number.

2194768200 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 2194768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405474000).

2194768200 is an abundant number, since it is smaller than the sum of its proper divisors (4616179800).

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

2194768200 is a wasteful number, since it uses less digits than its factorization.

2194768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2194768200 is about 46848.3532261274. The cubic root of 2194768200 is about 1299.5596536205.

The spelling of 2194768200 in words is "two billion, one hundred ninety-four million, seven hundred sixty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1699 2153 3398 4306 5097 6459 6796 8495 8612 10194 10765 12918 13592 16990 17224 20388 21530 25485 25836 32295 33980 40776 42475 43060 50970 51672 53825 64590 67960 84950 86120 101940 107650 127425 129180 161475 169900 203880 215300 254850 258360 322950 339800 430600 509700 645900 1019400 1291800 3657947 7315894 10973841 14631788 18289735 21947682 29263576 36579470 43895364 54869205 73158940 87790728 91448675 109738410 146317880 182897350 219476820 274346025 365794700 438953640 548692050 731589400 1097384100 2194768200