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2300220312 = 2331313215581
BaseRepresentation
bin1000100100011010…
…1001001110011000
312221022021022001220
42021012221032120
514202324022222
61020125412040
7111000356445
oct21106511630
95838238056
102300220312
11a80461625
1254240a020
132a8721510
1417b6c89cc
15d6e16b5c
hex891a9398

2300220312 has 64 divisors (see below), whose sum is σ = 6198699360. Its totient is φ = 707097600.

The previous prime is 2300220311. The next prime is 2300220323. The reversal of 2300220312 is 2130220032.

It is a junction number, because it is equal to n+sod(n) for n = 2300220291 and 2300220300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300220311) 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 15 ways as a sum of consecutive naturals, for example, 409362 + ... + 414942.

Almost surely, 22300220312 is an apocalyptic number.

It is an amenable number.

2300220312 is an abundant number, since it is smaller than the sum of its proper divisors (3898479048).

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

2300220312 is a wasteful number, since it uses less digits than its factorization.

2300220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6920 counting only the distinct ones).

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

The square root of 2300220312 is about 47960.6120895053. The cubic root of 2300220312 is about 1320.0482672892.

Adding to 2300220312 its reverse (2130220032), we get a palindrome (4430440344).

The spelling of 2300220312 in words is "two billion, three hundred million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1321 2642 3963 5284 5581 7926 10568 11162 15852 16743 17173 22324 31704 33486 34346 44648 51519 66972 68692 72553 103038 133944 137384 145106 206076 217659 290212 412152 435318 580424 870636 1741272 7372501 14745002 22117503 29490004 44235006 58980008 88470012 95842513 176940024 191685026 287527539 383370052 575055078 766740104 1150110156 2300220312