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21200233320 = 23325780910399
BaseRepresentation
bin10011101111101000…
…011110001101101000
32000201110222102211200
4103233220132031220
5321404224431240
613423402324200
71350235003260
oct235750361550
960643872750
1021200233320
118a99a85092
124137ab9660
131ccb251376
1410518767a0
15841300930
hex4efa1e368

21200233320 has 192 divisors, whose sum is σ = 78848640000. Its totient is φ = 4839312384.

The previous prime is 21200233291. The next prime is 21200233343. The reversal of 21200233320 is 2333200212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 21200233293 and 21200233302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2033481 + ... + 2043879.

It is an arithmetic number, because the mean of its divisors is an integer number (410670000).

Almost surely, 221200233320 is an apocalyptic number.

21200233320 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 21200233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39424320000).

21200233320 is an abundant number, since it is smaller than the sum of its proper divisors (57648406680).

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

21200233320 is a wasteful number, since it uses less digits than its factorization.

21200233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21200233320 its reverse (2333200212), we get a palindrome (23533433532).

The spelling of 21200233320 in words is "twenty-one billion, two hundred million, two hundred thirty-three thousand, three hundred twenty".