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2033220112 = 247211221433
BaseRepresentation
bin111100100110000…
…0111101000010000
312020200212021122121
41321030013220100
513131001020422
6533430544024
7101246041300
oct17114075020
95220767577
102033220112
11953777400
12488b08014
13265308c31
14154065600
15bd7758c7
hex79307a10

2033220112 has 90 divisors (see below), whose sum is σ = 5037225774. Its totient is φ = 792126720.

The previous prime is 2033220019. The next prime is 2033220121. The reversal of 2033220112 is 2110223302.

It can be written as a sum of positive squares in only one way, i.e., 1298593296 + 734626816 = 36036^2 + 27104^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 84148 + ... + 105580.

Almost surely, 22033220112 is an apocalyptic number.

2033220112 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 2033220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518612887).

2033220112 is an abundant number, since it is smaller than the sum of its proper divisors (3004005662).

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

2033220112 is a wasteful number, since it uses less digits than its factorization.

2033220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21477 (or 21453 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2033220112 is about 45091.2420764831. The cubic root of 2033220112 is about 1266.8585660628.

Adding to 2033220112 its reverse (2110223302), we get a palindrome (4143443414).

The spelling of 2033220112 in words is "two billion, thirty-three million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 847 968 1078 1232 1694 1936 2156 3388 4312 5929 6776 8624 11858 13552 21433 23716 42866 47432 85732 94864 150031 171464 235763 300062 342928 471526 600124 943052 1050217 1200248 1650341 1886104 2100434 2400496 2593393 3300682 3772208 4200868 5186786 6601364 8401736 10373572 11552387 13202728 16803472 18153751 20747144 23104774 26405456 36307502 41494288 46209548 72615004 92419096 127076257 145230008 184838192 254152514 290460016 508305028 1016610056 2033220112