Search a number
-
+
23433211200 = 263527343331
BaseRepresentation
bin10101110100101110…
…100110110101000000
32020111002201110122010
4111310232212311000
5340442400224300
614433131012520
71456461003000
oct256456466500
966432643563
1023433211200
119a35489453
12465b89a140
132295a5b259
1411c425a000
15922383a50
hex574ba6d40

23433211200 has 672 divisors, whose sum is σ = 92018713600. Its totient is φ = 5215795200.

The previous prime is 23433211199. The next prime is 23433211223. The reversal of 23433211200 is 211233432.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 70795035 + ... + 70795365.

Almost surely, 223433211200 is an apocalyptic number.

23433211200 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 23433211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46009356800).

23433211200 is an abundant number, since it is smaller than the sum of its proper divisors (68585502400).

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

23433211200 is a wasteful number, since it uses less digits than its factorization.

23433211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23433211200 its reverse (211233432), we get a palindrome (23644444632).

The spelling of 23433211200 in words is "twenty-three billion, four hundred thirty-three million, two hundred eleven thousand, two hundred".