Search a number
-
+
2369269056 = 263711217857
BaseRepresentation
bin1000110100111000…
…0010110101000000
320010010012100010210
42031032002311000
514323013102211
61031033354120
7112466311650
oct21516026500
96103170123
102369269056
111006432a00
12561568940
132b9b1906b
14186940360
15dd0059a6
hex8d382d40

2369269056 has 336 divisors, whose sum is σ = 8347667328. Its totient is φ = 578519040.

The previous prime is 2369269051. The next prime is 2369269061. The reversal of 2369269056 is 6509629632.

It is an interprime number because it is at equal distance from previous prime (2369269051) and next prime (2369269061).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×23692690562 = 11226871719438262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2369268996 and 2369269014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2369269051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2764180 + ... + 2765036.

It is an arithmetic number, because the mean of its divisors is an integer number (24844248).

Almost surely, 22369269056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2369269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173833664).

2369269056 is an abundant number, since it is smaller than the sum of its proper divisors (5978398272).

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

2369269056 is a wasteful number, since it uses less digits than its factorization.

2369269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 2369269056 is about 48675.1379659062. The cubic root of 2369269056 is about 1333.1268049000.

The spelling of 2369269056 in words is "two billion, three hundred sixty-nine million, two hundred sixty-nine thousand, fifty-six".