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1225022640 = 243529376771
BaseRepresentation
bin100100100000100…
…0101110010110000
310011101002121010220
41021001011302300
510002101211030
6321320253040
742233343402
oct11101056260
93141077126
101225022640
11579547706
122a2311180
13166a45a8a
14b89a4b72
157282ea10
hex49045cb0

1225022640 has 320 divisors, whose sum is σ = 4152591360. Its totient is φ = 298045440.

The previous prime is 1225022609. The next prime is 1225022651. The reversal of 1225022640 is 462205221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1225022640.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17253805 + ... + 17253875.

It is an arithmetic number, because the mean of its divisors is an integer number (12976848).

Almost surely, 21225022640 is an apocalyptic number.

1225022640 is a gapful number since it is divisible by the number (10) 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 1225022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076295680).

1225022640 is an abundant number, since it is smaller than the sum of its proper divisors (2927568720).

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

1225022640 is a wasteful number, since it uses less digits than its factorization.

1225022640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1225022640 is about 35000.3234270771. The cubic root of 1225022640 is about 1069.9940722297.

Adding to 1225022640 its reverse (462205221), we get a palindrome (1687227861).

The spelling of 1225022640 in words is "one billion, two hundred twenty-five million, twenty-two thousand, six hundred forty".