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2238069257352 = 2333194433
BaseRepresentation
bin100000100100010111010…
…100101011010010001000
321220221211220011011222000
4200210113110223102020
5243132031212213402
64432053235231000
7320460304542405
oct40442724532210
97827756134860
102238069257352
11793183827545
12301904a48460
1313308392a216
147a4749512ac
153d33d6a6c1c
hex2091752b488

2238069257352 has 320 divisors, whose sum is σ = 6718479240000. Its totient is φ = 690322463712.

The previous prime is 2238069257351. The next prime is 2238069257363. The reversal of 2238069257352 is 2537529608322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2238069257352 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 0 + 69 + 2 + 573 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2238069257352 = 16343 + 130723 = 73533 + 122553.

It is not an unprimeable number, because it can be changed into a prime (2238069257351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52048122243 + ... + 52048122285.

It is an arithmetic number, because the mean of its divisors is an integer number (20995247625).

Almost surely, 22238069257352 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 2238069257352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359239620000).

2238069257352 is an abundant number, since it is smaller than the sum of its proper divisors (4480409982648).

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

2238069257352 is an frugal number, since it uses more digits than its factorization.

2238069257352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2238069257352 in words is "two trillion, two hundred thirty-eight billion, sixty-nine million, two hundred fifty-seven thousand, three hundred fifty-two".