Search a number
-
+
2297830500 = 2232537217613
BaseRepresentation
bin1000100011110110…
…0001110001100100
312221010202212212100
42020331201301210
514201221034000
61020002252100
7110641144200
oct21075416144
95833685770
102297830500
11a7a07a079
12541657030
132a8095824
1417b265b00
15d6ae3a00
hex88f61c64

2297830500 has 432 divisors, whose sum is σ = 8942968944. Its totient is φ = 493516800.

The previous prime is 2297830481. The next prime is 2297830501. The reversal of 2297830500 is 50387922.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1232852544 + 1064977956 = 35112^2 + 32634^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2297830501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3748194 + ... + 3748806.

It is an arithmetic number, because the mean of its divisors is an integer number (20701317).

Almost surely, 22297830500 is an apocalyptic number.

2297830500 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 2297830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471484472).

2297830500 is an abundant number, since it is smaller than the sum of its proper divisors (6645138444).

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

2297830500 is a wasteful number, since it uses less digits than its factorization.

2297830500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2297830500 is about 47935.6912957350. The cubic root of 2297830500 is about 1319.5909545241.

The spelling of 2297830500 in words is "two billion, two hundred ninety-seven million, eight hundred thirty thousand, five hundred".