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2325332335232 = 27233291726729
BaseRepresentation
bin100001110101101000100…
…110111001101010000000
322020022002102000211202102
4201311220212321222000
5301044240034211412
64540124250005532
7326666621504234
oct41655046715200
98208072024672
102325332335232
11817193533525
123167b91168a8
1313b37c70914a
14807921685c4
15407496088c2
hex21d689b9a80

2325332335232 has 64 divisors (see below), whose sum is σ = 4654149013800. Its totient is φ = 1157236015104.

The previous prime is 2325332335213. The next prime is 2325332335253.

2325332335232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2298086211136 + 27246124096 = 1515944^2 + 165064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86983244 + ... + 87009972.

Almost surely, 22325332335232 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 2325332335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327074506900).

2325332335232 is an abundant number, since it is smaller than the sum of its proper divisors (2328816678568).

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

2325332335232 is a wasteful number, since it uses less digits than its factorization.

2325332335232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29893 (or 29881 counting only the distinct ones).

The product of its digits is 583200, while the sum is 38.

The spelling of 2325332335232 in words is "two trillion, three hundred twenty-five billion, three hundred thirty-two million, three hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 233 466 932 1864 2917 3728 5834 7456 11668 14912 23336 26729 29824 46672 53458 93344 106916 186688 213832 373376 427664 679661 855328 1359322 1710656 2718644 3421312 5437288 6227857 10874576 12455714 21749152 24911428 43498304 49822856 77968493 86996608 99645712 155936986 199291424 311873972 398582848 623747944 797165696 1247495888 2494991776 4989983552 9979967104 18166658869 36333317738 72666635476 145333270952 290666541904 581333083808 1162666167616 2325332335232