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21444423000 = 233537111337193
BaseRepresentation
bin10011111110001011…
…111110110101011000
32001100111110120002220
4103332023332311120
5322404233014000
613503524224040
71356261405450
oct237613766530
961314416086
1021444423000
1191048aa440
1241a583b020
132039a0b1c0
14107607cd60
158579881a0
hex4fe2fed58

21444423000 has 1024 divisors, whose sum is σ = 92738580480. Its totient is φ = 3981312000.

The previous prime is 21444422971. The next prime is 21444423019. The reversal of 21444423000 is 32444412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111110904 + ... + 111111096.

It is an arithmetic number, because the mean of its divisors is an integer number (90565020).

Almost surely, 221444423000 is an apocalyptic number.

21444423000 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 21444423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46369290240).

21444423000 is an abundant number, since it is smaller than the sum of its proper divisors (71294157480).

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

21444423000 is a wasteful number, since it uses less digits than its factorization.

21444423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21444423000 its reverse (32444412), we get a palindrome (21476867412).

It can be divided in two parts, 21444 and 423000, that added together give a palindrome (444444).

The spelling of 21444423000 in words is "twenty-one billion, four hundred forty-four million, four hundred twenty-three thousand".