Search a number
-
+
2295982562500 = 2256112192292
BaseRepresentation
bin100001011010010011001…
…110011001110011000100
322010111022222020220111201
4201122103032121303010
5300104133014000000
64514432042312244
7324610405526554
oct41322316316304
98114288226451
102295982562500
118057a2333900
12310b87ab8684
13138682c77613
147d1aa21d164
153eaccb1e96a
hex21693399cc4

2295982562500 has 567 divisors, whose sum is σ = 6034166531211. Its totient is φ = 763686000000.

The previous prime is 2295982562431. The next prime is 2295982562509. The reversal of 2295982562500 is 52652895922.

The square root of 2295982562500 is 1515250.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1945651157956 + 350331404544 = 1394866^2 + 591888^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (2295982562509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 79171812486 + ... + 79171812514.

Almost surely, 22295982562500 is an apocalyptic number.

2295982562500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2295982562500 is the 1515250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2295982562500

2295982562500 is an abundant number, since it is smaller than the sum of its proper divisors (3738183968711).

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

2295982562500 is an equidigital number, since it uses as much as digits as its factorization.

2295982562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 55.

The spelling of 2295982562500 in words is "two trillion, two hundred ninety-five billion, nine hundred eighty-two million, five hundred sixty-two thousand, five hundred".