Search a number
-
+
2194746200 = 235233732563
BaseRepresentation
bin1000001011010001…
…0010101101011000
312122221210122210022
42002310102231120
513443323334300
61001441010012
7105250014653
oct20264225530
95587718708
102194746200
11a26971339
12513023908
1328c9121ba
1416b6b089a
15cca30285
hex82d12b58

2194746200 has 48 divisors (see below), whose sum is σ = 5118083880. Its totient is φ = 875266560.

The previous prime is 2194746167. The next prime is 2194746233. The reversal of 2194746200 is 26474912.

It is an interprime number because it is at equal distance from previous prime (2194746167) and next prime (2194746233).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51119 + ... + 83681.

Almost surely, 22194746200 is an apocalyptic number.

2194746200 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 2194746200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559041940).

2194746200 is an abundant number, since it is smaller than the sum of its proper divisors (2923337680).

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

2194746200 is a wasteful number, since it uses less digits than its factorization.

2194746200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32916 (or 32907 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2194746200 is about 46848.1184253968. The cubic root of 2194746200 is about 1299.5553114144. Note that the first 3 decimals are identical.

The spelling of 2194746200 in words is "two billion, one hundred ninety-four million, seven hundred forty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 337 674 1348 1685 2696 3370 6740 8425 13480 16850 32563 33700 65126 67400 130252 162815 260504 325630 651260 814075 1302520 1628150 3256300 6512600 10973731 21947462 43894924 54868655 87789848 109737310 219474620 274343275 438949240 548686550 1097373100 2194746200