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235322010000 = 24345474112
BaseRepresentation
bin1101101100101001001…
…0001110100110010000
3211111101222212201010000
43123022102032212100
512323414413310000
6300034435210000
723000333040000
oct3331222164620
9744358781100
10235322010000
119088815a100
1239734a46900
1319263178bcc
14b565290000
1561c4410000
hex36ca48e990

235322010000 has 1875 divisors, whose sum is σ = 1091346972023. Its totient is φ = 48898080000.

The previous prime is 235322009977. The next prime is 235322010017. The reversal of 235322010000 is 10223532.

The square root of 235322010000 is 485100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 18449245584 + 216872764416 = 135828^2 + 465696^2 .

It is a tau number, because it is divible by the number of its divisors (1875).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 374 ways as a sum of consecutive naturals, for example, 21392909995 + ... + 21392910005.

Almost surely, 2235322010000 is an apocalyptic number.

235322010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

235322010000 is the 485100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235322010000

235322010000 is an abundant number, since it is smaller than the sum of its proper divisors (856024962023).

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

235322010000 is an frugal number, since it uses more digits than its factorization.

235322010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 235322010000 its reverse (10223532), we get a palindrome (235332233532).

The spelling of 235322010000 in words is "two hundred thirty-five billion, three hundred twenty-two million, ten thousand".