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2230302312 = 233276317013
BaseRepresentation
bin1000010011101111…
…1011011001101000
312202102201002121100
42010323323121220
514031424133222
61005151041400
7106161154050
oct20473733150
95672632540
102230302312
11a44a47157
12522b10260
132970b1114
141722c8560
15d0c054ac
hex84efb668

2230302312 has 96 divisors (see below), whose sum is σ = 6915242880. Its totient is φ = 636128640.

The previous prime is 2230302311. The next prime is 2230302343. The reversal of 2230302312 is 2132030322.

It is a happy number.

2230302312 is a `hidden beast` number, since 22 + 30 + 302 + 312 = 666.

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 (2230302311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314518 + ... + 321530.

It is an arithmetic number, because the mean of its divisors is an integer number (72033780).

Almost surely, 22230302312 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 2230302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457621440).

2230302312 is an abundant number, since it is smaller than the sum of its proper divisors (4684940568).

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

2230302312 is a wasteful number, since it uses less digits than its factorization.

2230302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2230302312 is about 47226.0766102796. The cubic root of 2230302312 is about 1306.5355914033.

Adding to 2230302312 its reverse (2132030322), we get a palindrome (4362332634).

The spelling of 2230302312 in words is "two billion, two hundred thirty million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 631 1262 1893 2524 3786 4417 5048 5679 7013 7572 8834 11358 13251 14026 15144 17668 21039 22716 26502 28052 35336 39753 42078 45432 49091 53004 56104 63117 79506 84156 98182 106008 126234 147273 159012 168312 196364 252468 294546 318024 392728 441819 504936 589092 883638 1178184 1767276 3534552 4425203 8850406 13275609 17700812 26551218 30976421 35401624 39826827 53102436 61952842 79653654 92929263 106204872 123905684 159307308 185858526 247811368 278787789 318614616 371717052 557575578 743434104 1115151156 2230302312