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2322320232232 = 2371121329909091
BaseRepresentation
bin100001110010110101000…
…100101000111100101000
322020000022111020011020001
4201302311010220330220
5301022102434412412
64534505330112344
7326532155162650
oct41626504507450
98200274204201
102322320232232
11815988256a00
123160b841b6b4
1313acbc677a90
14805880d1360
154061ee73957
hex21cb5128f28

2322320232232 has 192 divisors, whose sum is σ = 6093825494400. Its totient is φ = 806399193600.

The previous prime is 2322320232101. The next prime is 2322320232251.

It is a happy number.

2322320232232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23223202322322 (a number of 26 digits) contains 22 as substring.

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 2322320232232.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2100007 + ... + 3009097.

It is an arithmetic number, because the mean of its divisors is an integer number (31738674450).

Almost surely, 22322320232232 is an apocalyptic number.

2322320232232 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 2322320232232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046912747200).

2322320232232 is an abundant number, since it is smaller than the sum of its proper divisors (3771505262168).

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

2322320232232 is a wasteful number, since it uses less digits than its factorization.

2322320232232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909168 (or 909153 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, 2322320 and 232232, that added together give a palindrome (2554552).

The spelling of 2322320232232 in words is "two trillion, three hundred twenty-two billion, three hundred twenty million, two hundred thirty-two thousand, two hundred thirty-two".