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248422268192 = 25724123072
BaseRepresentation
bin1110011101011100011…
…1101111110100100000
3212202012222022202221212
43213113013233310200
513032232100040232
6310042411205252
723643064303400
oct3472707576440
9782188282855
10248422268192
119639a991a6a
1240190146828
131a570251a87
14c049076800
1566de567eb2
hex39d71efd20

248422268192 has 162 divisors, whose sum is σ = 585051864201. Its totient is φ = 103531599360.

The previous prime is 248422268173. The next prime is 248422268203. The reversal of 248422268192 is 291862224842.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 177412809616 + 71009458576 = 421204^2 + 266476^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=352436.

It is a self number, because there is not a number n which added to its sum of digits gives 248422268192.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 809192903 + ... + 809193209.

Almost surely, 2248422268192 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 248422268192

248422268192 is an abundant number, since it is smaller than the sum of its proper divisors (336629596009).

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

248422268192 is an frugal number, since it uses more digits than its factorization.

248422268192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 357 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 50.

Multiplying 248422268192 by its sum of digits (50), we get a square (12421113409600 = 35243602).

The spelling of 248422268192 in words is "two hundred forty-eight billion, four hundred twenty-two million, two hundred sixty-eight thousand, one hundred ninety-two".