Search a number
-
+
23003370720 = 25325112950077
BaseRepresentation
bin10101011011000110…
…111001010011100000
32012101010220022100100
4111123012321103200
5334102330330340
614322334022400
71443021265521
oct253306712340
965333808310
1023003370720
119834891990
12455b947a00
13222799c485
141183128848
158e9778830
hex55b1b94e0

23003370720 has 288 divisors, whose sum is σ = 88589985120. Its totient is φ = 5384171520.

The previous prime is 23003370679. The next prime is 23003370721. The reversal of 23003370720 is 2707330032.

It is a happy number.

23003370720 is a `hidden beast` number, since 2 + 300 + 337 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003370721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434322 + ... + 484398.

It is an arithmetic number, because the mean of its divisors is an integer number (307604115).

Almost surely, 223003370720 is an apocalyptic number.

23003370720 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 23003370720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44294992560).

23003370720 is an abundant number, since it is smaller than the sum of its proper divisors (65586614400).

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

23003370720 is a wasteful number, since it uses less digits than its factorization.

23003370720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50138 (or 50127 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The spelling of 23003370720 in words is "twenty-three billion, three million, three hundred seventy thousand, seven hundred twenty".