Search a number
-
+
23799393000 = 2333534121499
BaseRepresentation
bin10110001010100011…
…011110101011101000
32021102121202102122000
4112022203132223220
5342220121034000
614533331331000
71501525334265
oct261243365350
967377672560
1023799393000
11a103156239
124742450a60
13232388b986
14121ab3a26c
159445b7000
hex58a8deae8

23799393000 has 256 divisors, whose sum is σ = 84520800000. Its totient is φ = 6191424000.

The previous prime is 23799392983. The next prime is 23799393029. The reversal of 23799393000 is 39399732.

It is a super-2 number, since 2×237993930002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1096251 + ... + 1117749.

It is an arithmetic number, because the mean of its divisors is an integer number (330159375).

Almost surely, 223799393000 is an apocalyptic number.

23799393000 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 23799393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42260400000).

23799393000 is an abundant number, since it is smaller than the sum of its proper divisors (60721407000).

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

23799393000 is a wasteful number, since it uses less digits than its factorization.

23799393000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21570 (or 21550 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The spelling of 23799393000 in words is "twenty-three billion, seven hundred ninety-nine million, three hundred ninety-three thousand".