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132224233020 = 2235111765318047
BaseRepresentation
bin111101100100100101…
…1011010111000111100
3110122021221012222201120
41323021023122320330
54131243400424040
6140424252110540
712360432302505
oct1731113327074
9418257188646
10132224233020
1151092150340
1221761765450
13c61293c249
146584a53bac
15368d26a7d0
hex1ec92dae3c

132224233020 has 192 divisors, whose sum is σ = 428321488896. Its totient is φ = 30120939520.

The previous prime is 132224232979. The next prime is 132224233027. The reversal of 132224233020 is 20332422231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132224233027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7317637 + ... + 7335683.

It is an arithmetic number, because the mean of its divisors is an integer number (2230841088).

Almost surely, 2132224233020 is an apocalyptic number.

132224233020 is a gapful number since it is divisible by the number (10) 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 132224233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214160744448).

132224233020 is an abundant number, since it is smaller than the sum of its proper divisors (296097255876).

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

132224233020 is a wasteful number, since it uses less digits than its factorization.

132224233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18740 (or 18738 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 132224233020 its reverse (20332422231), we get a palindrome (152556655251).

The spelling of 132224233020 in words is "one hundred thirty-two billion, two hundred twenty-four million, two hundred thirty-three thousand, twenty".