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1381223232 = 26332321511
BaseRepresentation
bin101001001010011…
…1100101101000000
310120021000102002000
41102110330231000
510312043120412
6345020224000
746141126614
oct12224745500
93507012060
101381223232
11649734504
1232669b000
1319020606c
14d1625344
15813d64dc
hex5253cb40

1381223232 has 168 divisors, whose sum is σ = 4247570880. Its totient is φ = 440098560.

The previous prime is 1381223227. The next prime is 1381223243. The reversal of 1381223232 is 2323221831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 1381223196 and 1381223205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913357 + ... + 914867.

It is an arithmetic number, because the mean of its divisors is an integer number (25283160).

Almost surely, 21381223232 is an apocalyptic number.

1381223232 is a gapful number since it is divisible by the number (12) 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 1381223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123785440).

1381223232 is an abundant number, since it is smaller than the sum of its proper divisors (2866347648).

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

1381223232 is a wasteful number, since it uses less digits than its factorization.

1381223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1539 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1381223232 is about 37164.8117444445. The cubic root of 1381223232 is about 1113.6651381339.

The spelling of 1381223232 in words is "one billion, three hundred eighty-one million, two hundred twenty-three thousand, two hundred thirty-two".