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2012232320 = 27573114489
BaseRepresentation
bin111011111110000…
…0011101010000000
312012020100222210222
41313330003222000
513110112413240
6531401042212
7100602456350
oct16774035200
95166328728
102012232320
11942941a1a
12481a86368
13260b6b017
14151360b60
15bb9cbeb5
hex77f03a80

2012232320 has 128 divisors (see below), whose sum is σ = 5675443200. Its totient is φ = 667607040.

The previous prime is 2012232307. The next prime is 2012232359. The reversal of 2012232320 is 232322102.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131636 + ... + 146124.

It is an arithmetic number, because the mean of its divisors is an integer number (44339400).

Almost surely, 22012232320 is an apocalyptic number.

2012232320 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 2012232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837721600).

2012232320 is an abundant number, since it is smaller than the sum of its proper divisors (3663210880).

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

2012232320 is a wasteful number, since it uses less digits than its factorization.

2012232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14546 (or 14534 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2012232320 is about 44857.9125684644. The cubic root of 2012232320 is about 1262.4844571494.

Adding to 2012232320 its reverse (232322102), we get a palindrome (2244554422).

The spelling of 2012232320 in words is "two billion, twelve million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 14489 17360 19840 27776 28978 34720 57956 69440 72445 101423 115912 138880 144890 202846 231824 289780 405692 449159 463648 507115 579560 811384 898318 927296 1014230 1159120 1622768 1796636 1854592 2028460 2245795 2318240 3144113 3245536 3593272 4056920 4491590 4636480 6288226 6491072 7186544 8113840 8983180 9272960 12576452 12982144 14373088 15720565 16227680 17966360 25152904 28746176 31441130 32455360 35932720 50305808 57492352 62882260 64910720 71865440 100611616 125764520 143730880 201223232 251529040 287461760 402446464 503058080 1006116160 2012232320