Search a number
-
+
20230223112000 = 2632531173349907
BaseRepresentation
bin1001001100110001101110…
…10000110010011101000000
32122121222202000212100122200
410212120313100302131000
510122422444104041000
6111005345230233200
74155404534132016
oct446306720623500
978558660770580
1020230223112000
11649a653600650
122328904955800
13b39917c85025
144dd2102648b6
1525137b806500
hex126637432740

20230223112000 has 672 divisors, whose sum is σ = 80027363505024. Its totient is φ = 4837100544000.

The previous prime is 20230223111983. The next prime is 20230223112019. The reversal of 20230223112000 is 21132203202.

20230223112000 is a `hidden beast` number, since 2 + 0 + 230 + 2 + 231 + 1 + 200 + 0 = 666.

It is a super-2 number, since 2×202302231120002 (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57641047 + ... + 57990953.

Almost surely, 220230223112000 is an apocalyptic number.

20230223112000 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 20230223112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40013681752512).

20230223112000 is an abundant number, since it is smaller than the sum of its proper divisors (59797140393024).

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

20230223112000 is a wasteful number, since it uses less digits than its factorization.

20230223112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350024 (or 350001 counting only the distinct ones).

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

Adding to 20230223112000 its reverse (21132203202), we get a palindrome (20251355315202).

The spelling of 20230223112000 in words is "twenty trillion, two hundred thirty billion, two hundred twenty-three million, one hundred twelve thousand".