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2312220132 = 2232376472683
BaseRepresentation
bin1000100111010001…
…1010110111100100
312222010211221201200
42021310122313210
514213412021012
61021234522500
7111204355365
oct21164326744
95863757650
102312220132
11a87208232
12546436430
132ab0633c1
1417d12db6c
15d7ed73dc
hex89d1ade4

2312220132 has 72 divisors (see below), whose sum is σ = 6014264256. Its totient is φ = 748471104.

The previous prime is 2312220121. The next prime is 2312220139. The reversal of 2312220132 is 2310222132.

2312220132 is a `hidden beast` number, since 2 + 312 + 220 + 132 = 666.

2312220132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2312220139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860463 + ... + 863145.

It is an arithmetic number, because the mean of its divisors is an integer number (83531448).

Almost surely, 22312220132 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 2312220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007132128).

2312220132 is an abundant number, since it is smaller than the sum of its proper divisors (3702044124).

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

2312220132 is a wasteful number, since it uses less digits than its factorization.

2312220132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2312220132 is about 48085.5501372294. The cubic root of 2312220132 is about 1322.3397689197.

Adding to 2312220132 its reverse (2310222132), we get a palindrome (4622442264).

The spelling of 2312220132 in words is "two billion, three hundred twelve million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 647 666 1294 1332 1941 2588 2683 3882 5366 5823 7764 8049 10732 11646 16098 23292 23939 24147 32196 47878 48294 71817 95756 96588 99271 143634 198542 215451 287268 297813 397084 430902 595626 861804 893439 1191252 1735901 1786878 3471802 3573756 5207703 6943604 10415406 15623109 20830812 31246218 62492436 64228337 128456674 192685011 256913348 385370022 578055033 770740044 1156110066 2312220132