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2033244120 = 2335314113331
BaseRepresentation
bin111100100110000…
…1101011111011000
312020200220111120210
41321030031133120
513131002302440
6533431251120
7101246201265
oct17114153730
95220814523
102033244120
11953793446
12488b19aa0
13265316b3b
1415407026c
15bd77ca80
hex7930d7d8

2033244120 has 128 divisors (see below), whose sum is σ = 6450554880. Its totient is φ = 511872000.

The previous prime is 2033244077. The next prime is 2033244127. The reversal of 2033244120 is 214423302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033244127) 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 31 ways as a sum of consecutive naturals, for example, 145855 + ... + 159185.

It is an arithmetic number, because the mean of its divisors is an integer number (50394960).

Almost surely, 22033244120 is an apocalyptic number.

2033244120 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 2033244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225277440).

2033244120 is an abundant number, since it is smaller than the sum of its proper divisors (4417310760).

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

2033244120 is a wasteful number, since it uses less digits than its factorization.

2033244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13417 (or 13413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2033244120 is about 45091.5082914732. The cubic root of 2033244120 is about 1266.8635523439.

Adding to 2033244120 its reverse (214423302), we get a palindrome (2247667422).

The spelling of 2033244120 in words is "two billion, thirty-three million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 41 60 62 82 93 120 123 124 155 164 186 205 246 248 310 328 372 410 465 492 615 620 744 820 930 984 1230 1240 1271 1640 1860 2460 2542 3720 3813 4920 5084 6355 7626 10168 12710 13331 15252 19065 25420 26662 30504 38130 39993 50840 53324 66655 76260 79986 106648 133310 152520 159972 199965 266620 319944 399930 413261 533240 546571 799860 826522 1093142 1239783 1599720 1639713 1653044 2066305 2186284 2479566 2732855 3279426 3306088 4132610 4372568 4959132 5465710 6198915 6558852 8198565 8265220 9918264 10931420 12397830 13117704 16397130 16530440 16943701 21862840 24795660 32794260 33887402 49591320 50831103 65588520 67774804 84718505 101662206 135549608 169437010 203324412 254155515 338874020 406648824 508311030 677748040 1016622060 2033244120