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245230214433200 = 24522991123205857
BaseRepresentation
bin110111110000100100011011…
…110100011100100110110000
31012011021210001021202010012222
4313300210123310130212300
5224120322434343330300
62225321112200340212
7102440204215466153
oct6760443364344660
91164253037663188
10245230214433200
11711576059aaa27
1223607312774668
13a6ab1578707b9
14447b2c466dc9a
151d540022d6785
hexdf091bd1c9b0

245230214433200 has 120 divisors (see below), whose sum is σ = 610150696159680. Its totient is φ = 94605633740800.

The previous prime is 245230214433119. The next prime is 245230214433299. The reversal of 245230214433200 is 2334412032542.

245230214433200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035329 + ... + 22170528.

It is an arithmetic number, because the mean of its divisors is an integer number (5084589134664).

Almost surely, 2245230214433200 is an apocalyptic number.

245230214433200 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 245230214433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305075348079840).

245230214433200 is an abundant number, since it is smaller than the sum of its proper divisors (364920481726480).

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

245230214433200 is a wasteful number, since it uses less digits than its factorization.

245230214433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23206815 (or 23206804 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 245230214433200 its reverse (2334412032542), we get a palindrome (247564626465742).

The spelling of 245230214433200 in words is "two hundred forty-five trillion, two hundred thirty billion, two hundred fourteen million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 911 1160 1450 1822 2320 2900 3644 4555 5800 7288 9110 11600 14576 18220 22775 26419 36440 45550 52838 72880 91100 105676 132095 182200 211352 264190 364400 422704 528380 660475 1056760 1320950 2113520 2641900 5283800 10567600 23205857 46411714 92823428 116029285 185646856 232058570 371293712 464117140 580146425 672969853 928234280 1160292850 1345939706 1856468560 2320585700 2691879412 3364849265 4641171400 5383758824 6729698530 9282342800 10767517648 13459397060 16824246325 21140535727 26918794120 33648492650 42281071454 53837588240 67296985300 84562142908 105702678635 134593970600 169124285816 211405357270 269187941200 338248571632 422810714540 528513393175 613075536083 845621429080 1057026786350 1226151072166 1691242858160 2114053572700 2452302144332 3065377680415 4228107145400 4904604288664 6130755360830 8456214290800 9809208577328 12261510721660 15326888402075 24523021443320 30653776804150 49046042886640 61307553608300 122615107216600 245230214433200