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2305152352 = 251931312113
BaseRepresentation
bin1000100101100101…
…1101010101100000
312221122112212120001
42021121131111200
514210104333402
61020423225344
7111060320536
oct21131352540
95848485501
102305152352
11a83220098
12543ba8254
132a975a399
1417c210156
15d758d187
hex8965d560

2305152352 has 48 divisors (see below), whose sum is σ = 4792782960. Its totient is φ = 1088335872.

The previous prime is 2305152337. The next prime is 2305152359. The reversal of 2305152352 is 2532515032.

It is a super-2 number, since 2×23051523522 = 10627454731862263808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2305152352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305152359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184248 + ... + 196360.

It is an arithmetic number, because the mean of its divisors is an integer number (99849645).

Almost surely, 22305152352 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 2305152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396391480).

2305152352 is an abundant number, since it is smaller than the sum of its proper divisors (2487630608).

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

2305152352 is a wasteful number, since it uses less digits than its factorization.

2305152352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12455 (or 12447 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 2305152352 is about 48012.0021661251. The cubic root of 2305152352 is about 1320.9910586023.

Adding to 2305152352 its reverse (2532515032), we get a palindrome (4837667384).

The spelling of 2305152352 in words is "two billion, three hundred five million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 313 608 626 1252 2504 5008 5947 10016 11894 12113 23788 24226 47576 48452 95152 96904 190304 193808 230147 387616 460294 920588 1841176 3682352 3791369 7364704 7582738 15165476 30330952 60661904 72036011 121323808 144072022 288144044 576288088 1152576176 2305152352