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1225232736 = 2537131391009
BaseRepresentation
bin100100100000111…
…1001000101100000
310011101111021100020
41021001321011200
510002124421421
6321324553440
742235210050
oct11101710540
93141437306
101225232736
11579680542
122a23b2880
13166aba5b0
14b8a1b560
1572871dc6
hex49079160

1225232736 has 192 divisors, whose sum is σ = 3990873600. Its totient is φ = 320495616.

The previous prime is 1225232731. The next prime is 1225232737. The reversal of 1225232736 is 6372325221.

It is a super-3 number, since 3×12252327363 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1225232697 and 1225232706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225232731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213800 + ... + 1214808.

It is an arithmetic number, because the mean of its divisors is an integer number (20785800).

Almost surely, 21225232736 is an apocalyptic number.

1225232736 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 1225232736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995436800).

1225232736 is an abundant number, since it is smaller than the sum of its proper divisors (2765640864).

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

1225232736 is a wasteful number, since it uses less digits than its factorization.

1225232736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 1225232736 is about 35003.3246420965. The cubic root of 1225232736 is about 1070.0552380718.

Adding to 1225232736 its reverse (6372325221), we get a palindrome (7597557957).

The spelling of 1225232736 in words is "one billion, two hundred twenty-five million, two hundred thirty-two thousand, seven hundred thirty-six".