Search a number
-
+
23354331000 = 233537211213101
BaseRepresentation
bin10101110000000001…
…101100111101111000
32020021121021221100020
4111300001230331320
5340312202043000
614421232210440
71454512352400
oct256001547570
966247257306
1023354331000
1199a4a02600
124639399a20
132282600790
1411b79a5800
1591a4a1ba0
hex57006cf78

23354331000 has 1152 divisors, whose sum is σ = 101328252480. Its totient is φ = 4435200000.

The previous prime is 23354330999. The next prime is 23354331029. The reversal of 23354331000 is 13345332.

It is a happy number.

It is a super-2 number, since 2×233543310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 231230950 + ... + 231231050.

Almost surely, 223354331000 is an apocalyptic number.

23354331000 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 23354331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50664126240).

23354331000 is an abundant number, since it is smaller than the sum of its proper divisors (77973921480).

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

23354331000 is a wasteful number, since it uses less digits than its factorization.

23354331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 23354331000 its reverse (13345332), we get a palindrome (23367676332).

The spelling of 23354331000 in words is "twenty-three billion, three hundred fifty-four million, three hundred thirty-one thousand".