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1332412224 = 263111323733
BaseRepresentation
bin100111101101010…
…1111111101000000
310102212011112221220
41033122233331000
510212044142344
6340114115040
745006213513
oct11732577500
93385145856
101332412224
11624126030
1231227ba80
13183075c00
14c8d5ad7a
157be93c19
hex4f6aff40

1332412224 has 168 divisors, whose sum is σ = 4165530912. Its totient is φ = 372602880.

The previous prime is 1332412201. The next prime is 1332412243. The reversal of 1332412224 is 4222142331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1332412194 and 1332412203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355062 + ... + 358794.

Almost surely, 21332412224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082765456).

1332412224 is an abundant number, since it is smaller than the sum of its proper divisors (2833118688).

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

1332412224 is a wasteful number, since it uses less digits than its factorization.

1332412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3762 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1332412224 is about 36502.2221789304. Note that the first 3 decimals coincide. The cubic root of 1332412224 is about 1100.3889049107.

Adding to 1332412224 its reverse (4222142331), we get a palindrome (5554554555).

The spelling of 1332412224 in words is "one billion, three hundred thirty-two million, four hundred twelve thousand, two hundred twenty-four".