Search a number
-
+
2293110000 = 24345419149
BaseRepresentation
bin1000100010101110…
…0001010011110000
312220210220001120000
42020223201103300
514144014010000
61015313150000
7110553053616
oct21053412360
95823801500
102293110000
11a77445535
1253bb5b300
132a710202c
1417a7976b6
15d64b0000
hex88ae14f0

2293110000 has 500 divisors, whose sum is σ = 8788593000. Its totient is φ = 575424000.

The previous prime is 2293109993. The next prime is 2293110023. The reversal of 2293110000 is 113922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 99 ways as a sum of consecutive naturals, for example, 15389926 + ... + 15390074.

It is an arithmetic number, because the mean of its divisors is an integer number (17577186).

Almost surely, 22293110000 is an apocalyptic number.

2293110000 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 2293110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394296500).

2293110000 is an abundant number, since it is smaller than the sum of its proper divisors (6495483000).

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

2293110000 is a wasteful number, since it uses less digits than its factorization.

2293110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2293110000 is about 47886.4281399229. The cubic root of 2293110000 is about 1318.6867103488.

Adding to 2293110000 its reverse (113922), we get a palindrome (2293223922).

The spelling of 2293110000 in words is "two billion, two hundred ninety-three million, one hundred ten thousand".