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235420340200 = 23529029130369
BaseRepresentation
bin1101101101000000100…
…1010100111111101000
3211111122211220101210021
43123100021110333220
512324120101341300
6300052310530224
723002635605653
oct3332011247750
9744584811707
10235420340200
1190928710031
1239761966974
131927a656666
14b57436889a
1561ccd84d1a
hex36d0254fe8

235420340200 has 48 divisors (see below), whose sum is σ = 547417111500. Its totient is φ = 94156984320.

The previous prime is 235420340143. The next prime is 235420340201. The reversal of 235420340200 is 2043024532.

235420340200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 141224136804 + 94196203396 = 375798^2 + 306914^2 .

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

It is not an unprimeable number, because it can be changed into a prime (235420340201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1740616 + ... + 1870984.

Almost surely, 2235420340200 is an apocalyptic number.

235420340200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235420340200 is an abundant number, since it is smaller than the sum of its proper divisors (311996771300).

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

235420340200 is a wasteful number, since it uses less digits than its factorization.

235420340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139414 (or 139405 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 235420340200 its reverse (2043024532), we get a palindrome (237463364732).

The spelling of 235420340200 in words is "two hundred thirty-five billion, four hundred twenty million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 9029 18058 36116 45145 72232 90290 130369 180580 225725 260738 361160 451450 521476 651845 902900 1042952 1303690 1805800 2607380 3259225 5214760 6518450 13036900 26073800 1177101701 2354203402 4708406804 5885508505 9416813608 11771017010 23542034020 29427542525 47084068040 58855085050 117710170100 235420340200