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2152225323 = 3419289827
BaseRepresentation
bin1000000001001000…
…0101101000101011
312112222210101010000
42000102011220223
513401432202243
6553321354043
7104222420253
oct20022055053
95488711100
102152225323
11a04969816
12500938923
13283b75111
14165ba2963
15c8e315d3
hex80485a2b

2152225323 has 60 divisors (see below), whose sum is σ = 3435446520. Its totient is φ = 1342401984.

The previous prime is 2152225307. The next prime is 2152225333. The reversal of 2152225323 is 3235222512.

It is not a de Polignac number, because 2152225323 - 24 = 2152225307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2152225333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2602036 + ... + 2602862.

It is an arithmetic number, because the mean of its divisors is an integer number (57257442).

Almost surely, 22152225323 is an apocalyptic number.

2152225323 is a deficient number, since it is larger than the sum of its proper divisors (1283221197).

2152225323 is an equidigital number, since it uses as much as digits as its factorization.

2152225323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 938 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 2152225323 is about 46392.0825464863. The cubic root of 2152225323 is about 1291.1080204324.

Adding to 2152225323 its reverse (3235222512), we get a palindrome (5387447835).

It can be divided in two parts, 2152 and 225323, that added together give a triangular number (227475 = T674).

The spelling of 2152225323 in words is "two billion, one hundred fifty-two million, two hundred twenty-five thousand, three hundred twenty-three".

Divisors: 1 3 9 19 27 57 81 89 171 267 361 513 801 827 1083 1539 1691 2403 2481 3249 5073 7209 7443 9747 15219 15713 22329 29241 32129 45657 47139 66987 73603 96387 136971 141417 220809 289161 298547 424251 662427 867483 895641 1272753 1398457 1987281 2602449 2686923 4195371 5961843 8060769 12586113 24182307 26570683 37758339 79712049 113275017 239136147 717408441 2152225323