Search a number
-
+
22858403568 = 2437411131973
BaseRepresentation
bin10101010010011101…
…111000111011110000
32012000001010012210120
4111102131320323300
5333303222403233
614300114530240
71436311140000
oct252235707360
965001105716
1022858403568
11976aa77a20
12451b296980
1322039432b0
14116bb90000
158dbb904b3
hex552778ef0

22858403568 has 800 divisors, whose sum is σ = 86358639360. Its totient is φ = 5120962560.

The previous prime is 22858403543. The next prime is 22858403593. The reversal of 22858403568 is 86530485822.

It is an interprime number because it is at equal distance from previous prime (22858403543) and next prime (22858403593).

It is a super-2 number, since 2×228584035682 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22858403568.

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 159 ways as a sum of consecutive naturals, for example, 313128780 + ... + 313128852.

Almost surely, 222858403568 is an apocalyptic number.

22858403568 is a gapful number since it is divisible by the number (28) 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 22858403568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43179319680).

22858403568 is an abundant number, since it is smaller than the sum of its proper divisors (63500235792).

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

22858403568 is a wasteful number, since it uses less digits than its factorization.

22858403568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

It can be divided in two parts, 22858 and 403568, that added together give a triangular number (426426 = T923).

The spelling of 22858403568 in words is "twenty-two billion, eight hundred fifty-eight million, four hundred three thousand, five hundred sixty-eight".