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1232265216 = 21337131929
BaseRepresentation
bin100100101110010…
…1110000000000000
310011212201120002110
41021130232000000
510010424441331
6322135415320
742352036650
oct11134560000
93155646073
101232265216
11582644106
122a4824540
131683b0520
14b992c360
15732b0946
hex4972e000

1232265216 has 448 divisors, whose sum is σ = 4403750400. Its totient is φ = 297271296.

The previous prime is 1232265169. The next prime is 1232265217. The reversal of 1232265216 is 6125622321.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232265217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42491890 + ... + 42491918.

It is an arithmetic number, because the mean of its divisors is an integer number (9829800).

Almost surely, 21232265216 is an apocalyptic number.

1232265216 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 1232265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201875200).

1232265216 is an abundant number, since it is smaller than the sum of its proper divisors (3171485184).

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

1232265216 is a wasteful number, since it uses less digits than its factorization.

1232265216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 1232265216 is about 35103.6353672949. The cubic root of 1232265216 is about 1072.0986023508.

Adding to 1232265216 its reverse (6125622321), we get a palindrome (7357887537).

The spelling of 1232265216 in words is "one billion, two hundred thirty-two million, two hundred sixty-five thousand, two hundred sixteen".