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21330223200 = 253252111320717
BaseRepresentation
bin10011110111011000…
…010110000001100000
32001001112120121102200
4103313120112001200
5322141014120300
613444324413200
71353403622436
oct236730260140
961045517380
1021330223200
11905639a440
124173547200
13201c165360
141064c32d56
1584c92b200
hex4f7616060

21330223200 has 432 divisors, whose sum is σ = 88369562736. Its totient is φ = 4772966400.

The previous prime is 21330223199. The next prime is 21330223249. The reversal of 21330223200 is 232203312.

It is a happy number.

21330223200 is a `hidden beast` number, since 213 + 30 + 223 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1019242 + ... + 1039958.

It is an arithmetic number, because the mean of its divisors is an integer number (204559173).

Almost surely, 221330223200 is an apocalyptic number.

21330223200 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 21330223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44184781368).

21330223200 is an abundant number, since it is smaller than the sum of its proper divisors (67039339536).

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

21330223200 is a wasteful number, since it uses less digits than its factorization.

21330223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20767 (or 20751 counting only the distinct ones).

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

Adding to 21330223200 its reverse (232203312), we get a palindrome (21562426512).

The spelling of 21330223200 in words is "twenty-one billion, three hundred thirty million, two hundred twenty-three thousand, two hundred".