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2332232331312 = 24313172947161303
BaseRepresentation
bin100001111100000011111…
…000010011000000110000
322020221220021120221221210
4201330003320103000300
5301202402434100222
64543225052520120
7330332614504002
oct41740370230060
98227807527853
102332232331312
1181a104393724
12318003a80040
1313bc0c099870
1480c486d2372
1540a0026bd0c
hex21f03e13030

2332232331312 has 320 divisors, whose sum is σ = 7258215444480. Its totient is φ = 638229430272.

The previous prime is 2332232331251. The next prime is 2332232331367. The reversal of 2332232331312 is 2131332322332.

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 2332232331312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14378053 + ... + 14539355.

It is an arithmetic number, because the mean of its divisors is an integer number (22681923264).

Almost surely, 22332232331312 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 2332232331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629107722240).

2332232331312 is an abundant number, since it is smaller than the sum of its proper divisors (4925983113168).

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

2332232331312 is a wasteful number, since it uses less digits than its factorization.

2332232331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161420 (or 161414 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 2332232331312 its reverse (2131332322332), we get a palindrome (4463564653644).

The spelling of 2332232331312 in words is "two trillion, three hundred thirty-two billion, two hundred thirty-two million, three hundred thirty-one thousand, three hundred twelve".