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23340011200 = 2652111326137
BaseRepresentation
bin10101101111001011…
…000100111011000000
32020020121100102021021
4111233023010323000
5340300020324300
614420001235224
71454246551612
oct255713047300
966217312237
1023340011200
119997911960
124634632b14
13227c65891c
1411b5b18db2
159190c3d1a
hex56f2c4ec0

23340011200 has 84 divisors (see below), whose sum is σ = 62652063672. Its totient is φ = 8487270400.

The previous prime is 23340011173. The next prime is 23340011203. The reversal of 23340011200 is 211004332.

It is a happy number.

It is a super-2 number, since 2×233400112002 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23340011203) 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 11 ways as a sum of consecutive naturals, for example, 645469 + ... + 680668.

Almost surely, 223340011200 is an apocalyptic number.

23340011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23340011200 is an abundant number, since it is smaller than the sum of its proper divisors (39312052472).

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

23340011200 is a wasteful number, since it uses less digits than its factorization.

23340011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326170 (or 1326155 counting only the distinct ones).

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

Adding to 23340011200 its reverse (211004332), we get a palindrome (23551015532).

The spelling of 23340011200 in words is "twenty-three billion, three hundred forty million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 1326137 2652274 5304548 6630685 10609096 13261370 14587507 21218192 26522740 29175014 33153425 42436384 53045480 58350028 66306850 72937535 84872768 106090960 116700056 132613700 145875070 212181920 233400112 265227400 291750140 364687675 424363840 466800224 530454800 583500280 729375350 933600448 1060909600 1167000560 1458750700 2121819200 2334001120 2917501400 4668002240 5835002800 11670005600 23340011200