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235525224000 = 2635311892141
BaseRepresentation
bin1101101101011001100…
…1011011011001000000
3211111221011021001022110
43123112121123121000
512324323424132000
6300110534535320
723005351241433
oct3332631333100
9744834231273
10235525224000
1190981937860
1239790b07540
13192962ba091
14b58426b81a
1561d71a1850
hex36d665b640

235525224000 has 224 divisors, whose sum is σ = 848405630592. Its totient is φ = 57096960000.

The previous prime is 235525223981. The next prime is 235525224007. The reversal of 235525224000 is 422525532.

235525224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2355252240002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (235525224007) 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 31 ways as a sum of consecutive naturals, for example, 182071 + ... + 710070.

Almost surely, 2235525224000 is an apocalyptic number.

235525224000 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 235525224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424202815296).

235525224000 is an abundant number, since it is smaller than the sum of its proper divisors (612880406592).

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

235525224000 is a wasteful number, since it uses less digits than its factorization.

235525224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892182 (or 892162 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 235525224000 its reverse (422525532), we get a palindrome (235947749532).

The spelling of 235525224000 in words is "two hundred thirty-five billion, five hundred twenty-five million, two hundred twenty-four thousand".