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230032042230400 = 2752149482449753
BaseRepresentation
bin110100010011011010000010…
…001010100000001010000000
31010011110211220112102202212121
4310103122002022200022000
5220122321110302333100
62133123132240534024
766311160306332254
oct6423320212401200
91104424815382777
10230032042230400
116732804aa09353
1221971901621314
139b47c0bc05377
1440b3878748264
151b8d9dbde751a
hexd136822a0280

230032042230400 has 96 divisors (see below), whose sum is σ = 572064795805500. Its totient is φ = 91395281018880.

The previous prime is 230032042230383. The next prime is 230032042230439. The reversal of 230032042230400 is 4032240230032.

It can be written as a sum of positive squares in 6 ways, for example, as 13648177590336 + 216383864640064 = 3694344^2 + 14709992^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240748077 + ... + 241701676.

Almost surely, 2230032042230400 is an apocalyptic number.

230032042230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230032042230400 is an abundant number, since it is smaller than the sum of its proper divisors (342032753575100).

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

230032042230400 is a wasteful number, since it uses less digits than its factorization.

230032042230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482449926 (or 482449909 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 230032042230400 its reverse (4032240230032), we get a palindrome (234064282460432).

The spelling of 230032042230400 in words is "two hundred thirty trillion, thirty-two billion, forty-two million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 149 160 200 298 320 400 596 640 745 800 1192 1490 1600 2384 2980 3200 3725 4768 5960 7450 9536 11920 14900 19072 23840 29800 47680 59600 95360 119200 238400 476800 482449753 964899506 1929799012 2412248765 3859598024 4824497530 7719196048 9648995060 12061243825 15438392096 19297990120 24122487650 30876784192 38595980240 48244975300 61753568384 71885013197 77191960480 96489950600 143770026394 154383920960 192979901200 287540052788 308767841920 359425065985 385959802400 575080105576 718850131970 771919604800 1150160211152 1437700263940 1543839209600 1797125329925 2300320422304 2875400527880 3594250659850 4600640844608 5750801055760 7188501319700 9201281689216 11501602111520 14377002639400 23003204223040 28754005278800 46006408446080 57508010557600 115016021115200 230032042230400