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2213231113296 = 24327217107172439
BaseRepresentation
bin100000001101001110110…
…110101011010001010000
321211120201212210201202200
4200031032312223101100
5242230144131111141
64412424435443200
7315620634030300
oct40151666532120
97746655721680
102213231113296
117836982a0265
122b8b32756500
13130925ab4168
1479199c9b600
153c887d06ab6
hex2034edab450

2213231113296 has 360 divisors, whose sum is σ = 7700415802560. Its totient is φ = 589588973568.

The previous prime is 2213231113283. The next prime is 2213231113339. The reversal of 2213231113296 is 6923111323122.

2213231113296 is a `hidden beast` number, since 2 + 2 + 1 + 323 + 1 + 1 + 1 + 329 + 6 = 666.

It is a super-2 number, since 2×22132311132962 (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2213231113296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12748645 + ... + 12921083.

It is an arithmetic number, because the mean of its divisors is an integer number (21390043896).

Almost surely, 22213231113296 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 2213231113296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850207901280).

2213231113296 is an abundant number, since it is smaller than the sum of its proper divisors (5487184689264).

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

2213231113296 is a wasteful number, since it uses less digits than its factorization.

2213231113296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172591 (or 172575 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 2213231113296 in words is "two trillion, two hundred thirteen billion, two hundred thirty-one million, one hundred thirteen thousand, two hundred ninety-six".