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235240243200 = 214335289239
BaseRepresentation
bin1101101100010101101…
…0010100000000000000
3211111012022000112011000
43123011122110000000
512323233000240300
6300022354452000
722665321034554
oct3330532240000
9744168015130
10235240243200
1190845a91536
1239711594000
131924c24a5a1
14b558487864
1561bc15cc00
hex36c5694000

235240243200 has 720 divisors, whose sum is σ = 877631328000. Its totient is φ = 61766369280.

The previous prime is 235240243181. The next prime is 235240243201. The reversal of 235240243200 is 2342042532.

It is a happy number.

235240243200 is a `hidden beast` number, since 2 + 3 + 52 + 402 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235240243201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984268681 + ... + 984268919.

It is an arithmetic number, because the mean of its divisors is an integer number (1218932400).

Almost surely, 2235240243200 is an apocalyptic number.

235240243200 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 235240243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438815664000).

235240243200 is an abundant number, since it is smaller than the sum of its proper divisors (642391084800).

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

235240243200 is an equidigital number, since it uses as much as digits as its factorization.

235240243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 235240243200 its reverse (2342042532), we get a palindrome (237582285732).

The spelling of 235240243200 in words is "two hundred thirty-five billion, two hundred forty million, two hundred forty-three thousand, two hundred".