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2332220222332 = 2272113131076427
BaseRepresentation
bin100001111100000011001…
…010000110101101111100
322020221212102210202120001
4201330003022012231330
5301202341334103312
64543223541204044
7330332406541600
oct41740312065574
98227772722501
102332220222332
1181a0a8573000
12317bbba00624
1313bc0971a0a0
1480c46c5d500
15409ee179057
hex21f03286b7c

2332220222332 has 288 divisors, whose sum is σ = 5677297226496. Its totient is φ = 830792350080.

The previous prime is 2332220222329. The next prime is 2332220222407.

It is a happy number.

2332220222332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2332220222332.

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, 362875303 + ... + 362881729.

It is an arithmetic number, because the mean of its divisors is an integer number (19712837592).

Almost surely, 22332220222332 is an apocalyptic number.

2332220222332 is a gapful number since it is divisible by the number (22) 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 2332220222332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838648613248).

2332220222332 is an abundant number, since it is smaller than the sum of its proper divisors (3345077004164).

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

2332220222332 is a wasteful number, since it uses less digits than its factorization.

2332220222332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6567 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 2332220 and 222332, that added together give a palindrome (2554552).

The spelling of 2332220222332 in words is "two trillion, three hundred thirty-two billion, two hundred twenty million, two hundred twenty-two thousand, three hundred thirty-two".