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1382222016 = 26337229499
BaseRepresentation
bin101001001100011…
…0000100011000000
310120022220011011000
41102120300203000
510312322101031
6345053452000
746152456540
oct12230604300
93508804130
101382222016
1164a25694a
12326aa1000
13190495866
14d1805320
15815323e6
hex526308c0

1382222016 has 224 divisors, whose sum is σ = 4673600000. Its totient is φ = 392408064.

The previous prime is 1382221949. The next prime is 1382222029. The reversal of 1382222016 is 6102222831.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769735 + ... + 2770233.

Almost surely, 21382222016 is an apocalyptic number.

1382222016 is a gapful number since it is divisible by the number (16) 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 1382222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336800000).

1382222016 is an abundant number, since it is smaller than the sum of its proper divisors (3291377984).

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

1382222016 is a wasteful number, since it uses less digits than its factorization.

1382222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1382222016 is about 37178.2465428374. The cubic root of 1382222016 is about 1113.9335096502.

Adding to 1382222016 its reverse (6102222831), we get a palindrome (7484444847).

The spelling of 1382222016 in words is "one billion, three hundred eighty-two million, two hundred twenty-two thousand, sixteen".