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1442162232 = 23357131809
BaseRepresentation
bin101010111110101…
…1010011000111000
310201111200102200000
41111331122120320
510423143142412
6355034313000
750511114420
oct12575323070
93644612600
101442162232
11680076915
12342b88760
1319ca21544
14d9769480
15869224dc
hex55f5a638

1442162232 has 192 divisors, whose sum is σ = 4670265600. Its totient is φ = 408395520.

The previous prime is 1442162219. The next prime is 1442162233. The reversal of 1442162232 is 2322612441.

1442162232 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 1 + 622 + 32 = 666.

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 = 1442162196 and 1442162205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442162233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782244 + ... + 1783052.

It is an arithmetic number, because the mean of its divisors is an integer number (24324300).

Almost surely, 21442162232 is an apocalyptic number.

1442162232 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 1442162232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335132800).

1442162232 is an abundant number, since it is smaller than the sum of its proper divisors (3228103368).

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

1442162232 is a wasteful number, since it uses less digits than its factorization.

1442162232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 952 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1442162232 is about 37975.8111434107. The cubic root of 1442162232 is about 1129.8081570581.

Adding to 1442162232 its reverse (2322612441), we get a palindrome (3764774673).

The spelling of 1442162232 in words is "one billion, four hundred forty-two million, one hundred sixty-two thousand, two hundred thirty-two".