Search a number
-
+
25222708224 = 2103272389191
BaseRepresentation
bin10111011111011000…
…111111110000000000
32102002210222100001200
4113133120333300000
5403124003130344
615330454101200
71552020324330
oct273730776000
972083870050
1025222708224
11a77361a00a
124a7b04a800
1324bc71182c
141313b9b0c0
159c9515069
hex5df63fc00

25222708224 has 528 divisors, whose sum is σ = 88288911360. Its totient is φ = 6780026880.

The previous prime is 25222708207. The next prime is 25222708261. The reversal of 25222708224 is 42280722252.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 132055969 + ... + 132056159.

Almost surely, 225222708224 is an apocalyptic number.

25222708224 is a gapful number since it is divisible by the number (24) 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 25222708224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44144455680).

25222708224 is an abundant number, since it is smaller than the sum of its proper divisors (63066203136).

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

25222708224 is a wasteful number, since it uses less digits than its factorization.

25222708224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 25222708224 in words is "twenty-five billion, two hundred twenty-two million, seven hundred eight thousand, two hundred twenty-four".