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2230320312 = 2333113132999
BaseRepresentation
bin1000010011101111…
…1111110010111000
312202102202000022000
42010323333302320
514031430222222
61005151301000
7106161260403
oct20473776270
95672660260
102230320312
11a44a59730
12522b1a760
132970b937c
141722d0d3a
15d0c0a9ac
hex84effcb8

2230320312 has 128 divisors (see below), whose sum is σ = 6782400000. Its totient is φ = 673470720.

The previous prime is 2230320293. The next prime is 2230320317. The reversal of 2230320312 is 2130230322.

It is a happy number.

2230320312 is a `hidden beast` number, since 2 + 2 + 30 + 320 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230320317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742189 + ... + 745187.

It is an arithmetic number, because the mean of its divisors is an integer number (52987500).

Almost surely, 22230320312 is an apocalyptic number.

2230320312 is a gapful number since it is divisible by the number (22) 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 2230320312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391200000).

2230320312 is an abundant number, since it is smaller than the sum of its proper divisors (4552079688).

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

2230320312 is a wasteful number, since it uses less digits than its factorization.

2230320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3328 counting only the distinct ones).

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

The square root of 2230320312 is about 47226.2671825754. The cubic root of 2230320312 is about 1306.5391062597.

Adding to 2230320312 its reverse (2130230322), we get a palindrome (4360550634).

The spelling of 2230320312 in words is "two billion, two hundred thirty million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 313 396 594 626 792 939 1188 1252 1878 2376 2504 2817 2999 3443 3756 5634 5998 6886 7512 8451 8997 10329 11268 11996 13772 16902 17994 20658 22536 23992 26991 27544 30987 32989 33804 35988 41316 53982 61974 65978 67608 71976 80973 82632 92961 98967 107964 123948 131956 161946 185922 197934 215928 247896 263912 296901 323892 371844 395868 593802 647784 743688 791736 890703 938687 1187604 1781406 1877374 2375208 2816061 3562812 3754748 5632122 7125624 7509496 8448183 10325557 11264244 16896366 20651114 22528488 25344549 30976671 33792732 41302228 50689098 61953342 67585464 82604456 92930013 101378196 123906684 185860026 202756392 247813368 278790039 371720052 557580078 743440104 1115160156 2230320312