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23224321000 = 235388726183
BaseRepresentation
bin10101101000010001…
…110000001111101000
32012221112122202011001
4111220101300033220
5340030411233000
614400305444344
71451343320446
oct255021601750
965845582131
1023224321000
119938584121
1246019406b4
1322616b059a
1411a4601b96
1590dd7046a
hex5684703e8

23224321000 has 64 divisors (see below), whose sum is σ = 54408257280. Its totient is φ = 9278900800.

The previous prime is 23224320991. The next prime is 23224321009. The reversal of 23224321000 is 12342232.

It is an interprime number because it is at equal distance from previous prime (23224320991) and next prime (23224321009).

It is a super-2 number, since 2×232243210002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23224321009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873909 + ... + 900091.

It is an arithmetic number, because the mean of its divisors is an integer number (850129020).

Almost surely, 223224321000 is an apocalyptic number.

23224321000 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 23224321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27204128640).

23224321000 is an abundant number, since it is smaller than the sum of its proper divisors (31183936280).

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

23224321000 is a wasteful number, since it uses less digits than its factorization.

23224321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27091 (or 27077 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 23224321000 its reverse (12342232), we get a palindrome (23236663232).

The spelling of 23224321000 in words is "twenty-three billion, two hundred twenty-four million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 887 1000 1774 3548 4435 7096 8870 17740 22175 26183 35480 44350 52366 88700 104732 110875 130915 177400 209464 221750 261830 443500 523660 654575 887000 1047320 1309150 2618300 3272875 5236600 6545750 13091500 23224321 26183000 46448642 92897284 116121605 185794568 232243210 464486420 580608025 928972840 1161216050 2322432100 2903040125 4644864200 5806080250 11612160500 23224321000