Search a number
-
+
2345424500 = 22538395591
BaseRepresentation
bin1000101111001100…
…0101011001110100
320001110022220120002
42023303011121310
514300412041000
61024422330432
7112056531206
oct21363053164
96043286502
102345424500
11aa3a27161
12555589a18
132b4bbaa63
141836d4776
15dad958d5
hex8bcc5674

2345424500 has 48 divisors (see below), whose sum is σ = 5129429760. Its totient is φ = 936884000.

The previous prime is 2345424481. The next prime is 2345424527. The reversal of 2345424500 is 54245432.

2345424500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416705 + ... + 422295.

It is an arithmetic number, because the mean of its divisors is an integer number (106863120).

Almost surely, 22345424500 is an apocalyptic number.

2345424500 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 2345424500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564714880).

2345424500 is an abundant number, since it is smaller than the sum of its proper divisors (2784005260).

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

2345424500 is a wasteful number, since it uses less digits than its factorization.

2345424500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6449 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 2345424500 is about 48429.5829013631. The cubic root of 2345424500 is about 1328.6394778198.

Adding to 2345424500 its reverse (54245432), we get a palindrome (2399669932).

The spelling of 2345424500 in words is "two billion, three hundred forty-five million, four hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 839 1678 3356 4195 5591 8390 11182 16780 20975 22364 27955 41950 55910 83900 104875 111820 139775 209750 279550 419500 559100 698875 1397750 2795500 4690849 9381698 18763396 23454245 46908490 93816980 117271225 234542450 469084900 586356125 1172712250 2345424500