Search a number
-
+
20232213120 = 2732572321817
BaseRepresentation
bin10010110101111011…
…110001001010000000
31221020000110220202200
4102311323301022000
5312413421304440
613143342313200
71314241655040
oct226573611200
957200426680
1020232213120
118642614199
123b07888800
131ba5830352
14d9d091720
157d6339c30
hex4b5ef1280

20232213120 has 384 divisors, whose sum is σ = 83320323840. Its totient is φ = 4423237632.

The previous prime is 20232213119. The next prime is 20232213151. The reversal of 20232213120 is 2131223202.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 20232213093 and 20232213102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916452 + ... + 938268.

It is an arithmetic number, because the mean of its divisors is an integer number (216980010).

Almost surely, 220232213120 is an apocalyptic number.

20232213120 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 20232213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41660161920).

20232213120 is an abundant number, since it is smaller than the sum of its proper divisors (63088110720).

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

20232213120 is a wasteful number, since it uses less digits than its factorization.

20232213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21872 (or 21857 counting only the distinct ones).

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

Adding to 20232213120 its reverse (2131223202), we get a palindrome (22363436322).

The spelling of 20232213120 in words is "twenty billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".