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21332232000 = 263253893329
BaseRepresentation
bin10011110111100000…
…000000011101000000
32001001200100122222200
4103313200000131000
5322142022411000
613444435433200
71353426660132
oct236740003500
961050318880
1021332232000
119057541702
124174155800
13201c6b97b1
1410651d7052
1584cbc6500
hex4f7800740

21332232000 has 336 divisors, whose sum is σ = 77189533200. Its totient is φ = 5622988800.

The previous prime is 21332231983. The next prime is 21332232001. The reversal of 21332232000 is 23223312.

It is a happy number.

21332232000 is a `hidden beast` number, since 21 + 3 + 322 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11550230784 + 9782001216 = 107472^2 + 98904^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6406336 + ... + 6409664.

Almost surely, 221332232000 is an apocalyptic number.

21332232000 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 21332232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38594766600).

21332232000 is an abundant number, since it is smaller than the sum of its proper divisors (55857301200).

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

21332232000 is a wasteful number, since it uses less digits than its factorization.

21332232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3428 counting only the distinct ones).

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

Adding to 21332232000 its reverse (23223312), we get a palindrome (21355455312).

The spelling of 21332232000 in words is "twenty-one billion, three hundred thirty-two million, two hundred thirty-two thousand".