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23014033200 = 2433522130929
BaseRepresentation
bin10101011011101111…
…100100011100110000
32012101212222000112000
4111123233210130300
5334113043030300
614323354334000
71443211024464
oct253357443460
965355860460
1023014033200
11983a904854
12456342a300
132229c63732
1411847024a4
158ea682c00
hex55bbe4730

23014033200 has 120 divisors (see below), whose sum is σ = 81912949200. Its totient is φ = 6137072640.

The previous prime is 23014033199. The next prime is 23014033249. The reversal of 23014033200 is 233041032.

23014033200 is a `hidden beast` number, since 2 + 301 + 40 + 3 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1054665 + ... + 1076264.

It is an arithmetic number, because the mean of its divisors is an integer number (682607910).

Almost surely, 223014033200 is an apocalyptic number.

23014033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23014033200 is an abundant number, since it is smaller than the sum of its proper divisors (58898916000).

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

23014033200 is a wasteful number, since it uses less digits than its factorization.

23014033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130956 (or 2130939 counting only the distinct ones).

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

Adding to 23014033200 its reverse (233041032), we get a palindrome (23247074232).

The spelling of 23014033200 in words is "twenty-three billion, fourteen million, thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 2130929 4261858 6392787 8523716 10654645 12785574 17047432 19178361 21309290 25571148 31963935 34094864 38356722 42618580 51142296 53273225 57535083 63927870 76713444 85237160 95891805 102284592 106546450 115070166 127855740 153426888 159819675 170474320 191783610 213092900 230140332 255711480 287675415 306853776 319639350 383567220 426185800 460280664 479459025 511422960 575350830 639278700 767134440 852371600 920561328 958918050 1150701660 1278557400 1438377075 1534268880 1917836100 2301403320 2557114800 2876754150 3835672200 4602806640 5753508300 7671344400 11507016600 23014033200