Search a number
-
+
2238543216 = 24377131937
BaseRepresentation
bin1000010101101101…
…0111010101110000
312210000012210000000
42011123113111300
514041031340331
61010043430000
7106321206030
oct20533272560
95700183000
102238543216
11a49665718
12525825300
13298a080b0
141734318c0
15d17d20e6
hex856d7570

2238543216 has 640 divisors, whose sum is σ = 8655001600. Its totient is φ = 544195584.

The previous prime is 2238543211. The next prime is 2238543227. The reversal of 2238543216 is 6123458322.

2238543216 is a `hidden beast` number, since 22 + 385 + 43 + 216 = 666.

2238543216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22385432162 = 10022151459799245312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238543211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60501150 + ... + 60501186.

It is an arithmetic number, because the mean of its divisors is an integer number (13523440).

Almost surely, 22238543216 is an apocalyptic number.

2238543216 is a gapful number since it is divisible by the number (26) 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 2238543216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327500800).

2238543216 is an abundant number, since it is smaller than the sum of its proper divisors (6416458384).

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

2238543216 is a wasteful number, since it uses less digits than its factorization.

2238543216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2238543216 is about 47313.2456717989. The cubic root of 2238543216 is about 1308.1428175004.

The spelling of 2238543216 in words is "two billion, two hundred thirty-eight million, five hundred forty-three thousand, two hundred sixteen".