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23105467000 = 23537111012971
BaseRepresentation
bin10101100001001100…
…010111001001111000
32012122021000100010001
4111201030113021320
5334304444421000
614340422202344
71445401141360
oct254114271170
965567010101
1023105467000
119887485380
124589b833b4
132242b98185
1411929039a0
159036e446a
hex561317278

23105467000 has 256 divisors, whose sum is σ = 68098268160. Its totient is φ = 7128000000.

The previous prime is 23105466977. The next prime is 23105467001. The reversal of 23105467000 is 76450132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23105467000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105467001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7775515 + ... + 7778485.

It is an arithmetic number, because the mean of its divisors is an integer number (266008860).

Almost surely, 223105467000 is an apocalyptic number.

23105467000 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 23105467000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34049134080).

23105467000 is an abundant number, since it is smaller than the sum of its proper divisors (44992801160).

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

23105467000 is a wasteful number, since it uses less digits than its factorization.

23105467000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 23105467000 in words is "twenty-three billion, one hundred five million, four hundred sixty-seven thousand".