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23213211000 = 2335373171327
BaseRepresentation
bin10101100111100111…
…010111110101111000
32012220202202022002120
4111213213113311320
5340020040223000
614355231401240
71451150016000
oct254747276570
965822668076
1023213211000
119932286001
1245ba083220
13225c2c0715
1411a2d4d000
1590cdc86a0
hex5679d7d78

23213211000 has 512 divisors, whose sum is σ = 89496576000. Its totient is φ = 4990003200.

The previous prime is 23213210987. The next prime is 23213211001. The reversal of 23213211000 is 11231232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213211001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17492337 + ... + 17493663.

It is an arithmetic number, because the mean of its divisors is an integer number (174798000).

Almost surely, 223213211000 is an apocalyptic number.

23213211000 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 23213211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44748288000).

23213211000 is an abundant number, since it is smaller than the sum of its proper divisors (66283365000).

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

23213211000 is a wasteful number, since it uses less digits than its factorization.

23213211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23213211000 its reverse (11231232), we get a palindrome (23224442232).

The spelling of 23213211000 in words is "twenty-three billion, two hundred thirteen million, two hundred eleven thousand".