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2194828900 = 2252113753927
BaseRepresentation
bin1000001011010010…
…0110111001100100
312122221221212020021
42002310212321210
513443334011100
61001442444524
7105250511035
oct20264467144
95587855207
102194828900
11a26a18490
12513063744
1328c940a34
1416b6d2a8c
15cca49a1a
hex82d26e64

2194828900 has 72 divisors (see below), whose sum is σ = 5336283456. Its totient is φ = 776534400.

The previous prime is 2194828847. The next prime is 2194828901. The reversal of 2194828900 is 98284912.

It is not an unprimeable number, because it can be changed into a prime (2194828901) 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, 13737 + ... + 67663.

It is an arithmetic number, because the mean of its divisors is an integer number (74115048).

Almost surely, 22194828900 is an apocalyptic number.

2194828900 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 2194828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668141728).

2194828900 is an abundant number, since it is smaller than the sum of its proper divisors (3141454556).

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

2194828900 is a wasteful number, since it uses less digits than its factorization.

2194828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53989 (or 53982 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 2194828900 is about 46849.0010565860. The cubic root of 2194828900 is about 1299.5716340116.

The spelling of 2194828900 in words is "two billion, one hundred ninety-four million, eight hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 40700 53927 107854 215708 269635 539270 593197 1078540 1186394 1348175 1995299 2372788 2696350 2965985 3990598 5392700 5931970 7981196 9976495 11863940 14829925 19952990 21948289 29659850 39905980 43896578 49882475 59319700 87793156 99764950 109741445 199529900 219482890 438965780 548707225 1097414450 2194828900