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23042211000 = 2335329833191
BaseRepresentation
bin10101011101011011…
…000011110010111000
32012110211222121012020
4111131123003302320
5334142301223000
614330242314440
71444002363504
oct253533036270
965424877166
1023042211000
119854800196
124570958a20
132232a4b1a3
141188359304
158ecd9bba0
hex55d6c3cb8

23042211000 has 256 divisors, whose sum is σ = 75290342400. Its totient is φ = 5859392000.

The previous prime is 23042210981. The next prime is 23042211007. The reversal of 23042211000 is 11224032.

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 (23042211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7219405 + ... + 7222595.

It is an arithmetic number, because the mean of its divisors is an integer number (294102900).

Almost surely, 223042211000 is an apocalyptic number.

23042211000 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 23042211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645171200).

23042211000 is an abundant number, since it is smaller than the sum of its proper divisors (52248131400).

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

23042211000 is a wasteful number, since it uses less digits than its factorization.

23042211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 23042211000 its reverse (11224032), we get a palindrome (23053435032).

The spelling of 23042211000 in words is "twenty-three billion, forty-two million, two hundred eleven thousand".