Search a number
-
+
23432211000 = 23325311376397
BaseRepresentation
bin10101110100101010…
…110010101000111000
32020111000211122121200
4111310222302220320
5340442121223000
614433053334200
71456446335652
oct256452625070
966430748550
1023432211000
119a34965a40
12465b497360
13229579ac13
1411c40796d2
15922237500
hex574ab2a38

23432211000 has 384 divisors, whose sum is σ = 88749984960. Its totient is φ = 5526144000.

The previous prime is 23432210999. The next prime is 23432211029. The reversal of 23432211000 is 11223432.

23432211000 is a `hidden beast` number, since 2 + 343 + 221 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 3659802 + ... + 3666198.

Almost surely, 223432211000 is an apocalyptic number.

23432211000 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 23432211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44374992480).

23432211000 is an abundant number, since it is smaller than the sum of its proper divisors (65317773960).

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

23432211000 is a wasteful number, since it uses less digits than its factorization.

23432211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23432211000 its reverse (11223432), we get a palindrome (23443434432).

It can be divided in two parts, 23432 and 211000, that added together give a palindrome (234432).

The spelling of 23432211000 in words is "twenty-three billion, four hundred thirty-two million, two hundred eleven thousand".