Search a number
-
+
2238453531360 = 2532547139277859
BaseRepresentation
bin100000100100101110001…
…110100100001011100000
321220222211200020022210200
4200210232032210023200
5243133323101000420
64432155323425200
7320502652035654
oct40445616441340
97828750208720
102238453531360
11793360731272
123019b1685200
131331154238a7
147a4ad9c0a64
153d3622b0b90
hex2092e3a42e0

2238453531360 has 576 divisors, whose sum is σ = 7894918886400. Its totient is φ = 577250758656.

The previous prime is 2238453531359. The next prime is 2238453531439. The reversal of 2238453531360 is 631353548322.

2238453531360 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 4 + 53 + 531 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2605882611 + ... + 2605883469.

It is an arithmetic number, because the mean of its divisors is an integer number (13706456400).

Almost surely, 22238453531360 is an apocalyptic number.

2238453531360 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 2238453531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947459443200).

2238453531360 is an abundant number, since it is smaller than the sum of its proper divisors (5656465355040).

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

2238453531360 is a wasteful number, since it uses less digits than its factorization.

2238453531360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2238453531360 in words is "two trillion, two hundred thirty-eight billion, four hundred fifty-three million, five hundred thirty-one thousand, three hundred sixty".