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232023121220 = 225114353676907
BaseRepresentation
bin1101100000010110100…
…1111101110101000100
3211011220002102210110002
43120011221331311010
512300140404334340
6254331232420432
722522514663312
oct3300551756504
9734802383402
10232023121220
118a445004140
1238b740a7718
1318b58895607
14b3310c30b2
15607e9cb715
hex3605a7dd44

232023121220 has 192 divisors, whose sum is σ = 562520318976. Its totient is φ = 79636677120.

The previous prime is 232023121189. The next prime is 232023121223. The reversal of 232023121220 is 22121320232.

It is a happy number.

232023121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232023121192 and 232023121201.

It is not an unprimeable number, because it can be changed into a prime (232023121223) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33589007 + ... + 33595913.

It is an arithmetic number, because the mean of its divisors is an integer number (2929793328).

Almost surely, 2232023121220 is an apocalyptic number.

232023121220 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 232023121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281260159488).

232023121220 is an abundant number, since it is smaller than the sum of its proper divisors (330497197756).

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

232023121220 is a wasteful number, since it uses less digits than its factorization.

232023121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232023121220 its reverse (22121320232), we get a palindrome (254144441452).

The spelling of 232023121220 in words is "two hundred thirty-two billion, twenty-three million, one hundred twenty-one thousand, two hundred twenty".