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23030213330400 = 2535217564466013
BaseRepresentation
bin1010011110010001000111…
…01011110100010111100000
310000112200000011102222202220
411033020203223310113200
511004311334103033100
6120551533422111040
74564610104242243
oct517104353642740
9100480004388686
1023030213330400
11737a071035061
1226bb4aba1b480
13cb098044c723
1459894da5125a
1529e106ce2aa0
hex14f223af45e0

23030213330400 has 144 divisors (see below), whose sum is σ = 79372953024624. Its totient is φ = 5780131962880.

The previous prime is 23030213330359. The next prime is 23030213330401. The reversal of 23030213330400 is 403331203032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23030213330401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282192207 + ... + 282273806.

It is an arithmetic number, because the mean of its divisors is an integer number (551201062671).

Almost surely, 223030213330400 is an apocalyptic number.

23030213330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23030213330400 is an abundant number, since it is smaller than the sum of its proper divisors (56342739694224).

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

23030213330400 is a wasteful number, since it uses less digits than its factorization.

23030213330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564466053 (or 564466040 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23030213330400 its reverse (403331203032), we get a palindrome (23433544533432).

The spelling of 23030213330400 in words is "twenty-three trillion, thirty billion, two hundred thirteen million, three hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 564466013 1128932026 1693398039 2257864052 2822330065 3386796078 4515728104 5644660130 6773592156 8466990195 9031456208 9595922221 11289320260 13547184312 14111650325 16933980390 18062912416 19191844442 22578640520 27094368624 28223300650 28787766663 33867960780 38383688884 42334950975 45157281040 47979611105 54188737248 56446601300 57575533326 67735921560 76767377768 84669901950 90314562080 95959222210 112893202600 115151066652 135471843120 143938833315 153534755536 169339803900 191918444420 225786405200 230302133304 239898055525 270943686240 287877666630 307069511072 338679607800 383836888840 451572810400 460604266608 479796111050 575755333260 677359215600 719694166575 767673777680 921208533216 959592222100 1151510666520 1354718431200 1439388333150 1535347555360 1919184444200 2303021333040 2878776666300 3838368888400 4606042666080 5757553332600 7676737776800 11515106665200 23030213330400