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2291536900 = 225247872
BaseRepresentation
bin1000100010010110…
…0001010000000100
312220200221010200001
42020211201100010
514143113140100
61015215331044
7110533512412
oct21045412004
95820833601
102291536900
11a76570654
1253b520a84
132a69a0cc3
1417a4a82b2
15d629dd6a
hex88961404

2291536900 has 27 divisors (see below), whose sum is σ = 4973674069. Its totient is φ = 916423280.

The previous prime is 2291536867. The next prime is 2291536909. The reversal of 2291536900 is 96351922.

The square root of 2291536900 is 47870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 824953284 + 1466583616 = 28722^2 + 38296^2 .

It is a super-2 number, since 2×22915369002 = 10502282728123220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2291536900.

It is not an unprimeable number, because it can be changed into a prime (2291536909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 476307 + ... + 481093.

Almost surely, 22291536900 is an apocalyptic number.

2291536900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2291536900 is the 47870-th square number.

It is an amenable number.

2291536900 is an abundant number, since it is smaller than the sum of its proper divisors (2682137169).

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

2291536900 is an frugal number, since it uses more digits than its factorization.

2291536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9588 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The cubic root of 2291536900 is about 1318.3850965863.

The spelling of 2291536900 in words is "two billion, two hundred ninety-one million, five hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4787 9574 19148 23935 47870 95740 119675 239350 478700 22915369 45830738 91661476 114576845 229153690 458307380 572884225 1145768450 2291536900