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2312230020 = 2235237123599
BaseRepresentation
bin1000100111010001…
…1101010010000100
312222010212110021220
42021310131102010
514213412330040
61021235040340
7111204426252
oct21164352204
95863773256
102312230020
11a87214701
125464400b0
132ab067a59
1417d1335d2
15d7eda2d0
hex89d1d484

2312230020 has 96 divisors (see below), whose sum is σ = 6851174400. Its totient is φ = 581454720.

The previous prime is 2312230009. The next prime is 2312230021. The reversal of 2312230020 is 200322132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2312230021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86181 + ... + 109779.

It is an arithmetic number, because the mean of its divisors is an integer number (71366400).

Almost surely, 22312230020 is an apocalyptic number.

2312230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425587200).

2312230020 is an abundant number, since it is smaller than the sum of its proper divisors (4538944380).

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

2312230020 is a wasteful number, since it uses less digits than its factorization.

2312230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23705 (or 23703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2312230020 is about 48085.6529538697. The cubic root of 2312230020 is about 1322.3416538725.

Adding to 2312230020 its reverse (200322132), we get a palindrome (2512552152).

The spelling of 2312230020 in words is "two billion, three hundred twelve million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 71 92 115 138 142 213 230 276 284 345 355 426 460 690 710 852 1065 1380 1420 1633 2130 3266 4260 4899 6532 8165 9798 16330 19596 23599 24495 32660 47198 48990 70797 94396 97980 117995 141594 235990 283188 353985 471980 542777 707970 1085554 1415940 1628331 1675529 2171108 2713885 3256662 3351058 5026587 5427770 6513324 6702116 8141655 8377645 10053174 10855540 16283310 16755290 20106348 25132935 32566620 33510580 38537167 50265870 77074334 100531740 115611501 154148668 192685835 231223002 385371670 462446004 578057505 770743340 1156115010 2312230020