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21224034048 = 283723591571
BaseRepresentation
bin10011110001000011…
…010000111100000000
32000210010202122022010
4103301003100330000
5321431323042143
613430012412520
71350644212200
oct236103207400
960703678263
1021224034048
119001460a08
124143a77140
132003165739
141054ab0400
15843452a33
hex4f10d0f00

21224034048 has 216 divisors, whose sum is σ = 65934207360. Its totient is φ = 6043269120.

The previous prime is 21224034043. The next prime is 21224034059. The reversal of 21224034048 is 84043042212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21224034043) 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 23 ways as a sum of consecutive naturals, for example, 13509103 + ... + 13510673.

It is an arithmetic number, because the mean of its divisors is an integer number (305250960).

Almost surely, 221224034048 is an apocalyptic number.

21224034048 is a gapful number since it is divisible by the number (28) 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 21224034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32967103680).

21224034048 is an abundant number, since it is smaller than the sum of its proper divisors (44710173312).

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

21224034048 is a wasteful number, since it uses less digits than its factorization.

21224034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 21224034048 in words is "twenty-one billion, two hundred twenty-four million, thirty-four thousand, forty-eight".