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24222121000 = 2353721144939
BaseRepresentation
bin10110100011110000…
…000011110000101000
32022112002012020102121
4112203300003300220
5344101330333000
615043312041024
71515150426400
oct264360036050
968462166377
1024222121000
11a2aa835020
12483bb33174
13239032a29c
14125ad39800
1596b769b1a
hex5a3c03c28

24222121000 has 192 divisors, whose sum is σ = 71929166400. Its totient is φ = 7549584000.

The previous prime is 24222120973. The next prime is 24222121009. The reversal of 24222121000 is 12122242.

It is a super-2 number, since 2×242221210002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24222121009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516531 + ... + 561469.

It is an arithmetic number, because the mean of its divisors is an integer number (374631075).

Almost surely, 224222121000 is an apocalyptic number.

24222121000 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 24222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35964583200).

24222121000 is an abundant number, since it is smaller than the sum of its proper divisors (47707045400).

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

24222121000 is a wasteful number, since it uses less digits than its factorization.

24222121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44985 (or 44964 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 24222121000 its reverse (12122242), we get a palindrome (24234243242).

The spelling of 24222121000 in words is "twenty-four billion, two hundred twenty-two million, one hundred twenty-one thousand".