Search a number
-
+
2330122210332 = 2237181153257183
BaseRepresentation
bin100001111010000110000…
…110110100110000011100
322020202110020000201010220
4201322012012310300130
5301134042241212312
64542235433401340
7330226412664540
oct41720606646034
98222406021126
102330122210332
11819221272594
12317715269250
1313b963b77077
1480ac836da20
1540929da5c8c
hex21e861b4c1c

2330122210332 has 48 divisors (see below), whose sum is σ = 6247988877312. Its totient is φ = 662071026240.

The previous prime is 2330122210331. The next prime is 2330122210357.

2330122210332 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330122210331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76613388 + ... + 76643795.

It is an arithmetic number, because the mean of its divisors is an integer number (130166434944).

Almost surely, 22330122210332 is an apocalyptic number.

It is an amenable number.

2330122210332 is an abundant number, since it is smaller than the sum of its proper divisors (3917866666980).

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

2330122210332 is a wasteful number, since it uses less digits than its factorization.

2330122210332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153257378 (or 153257376 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 2330122210332 in words is "two trillion, three hundred thirty billion, one hundred twenty-two million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2534 3801 5068 7602 15204 153257183 306514366 459771549 613028732 919543098 1072800281 1839086196 2145600562 3218400843 4291201124 6436801686 12873603372 27739550123 55479100246 83218650369 110958200492 166437300738 194176850861 332874601476 388353701722 582530552583 776707403444 1165061105166 2330122210332