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1223220000 = 25354192937
BaseRepresentation
bin100100011101000…
…1101101100100000
310011020201000101110
41020322031230200
510001121020000
6321213503320
742212125032
oct11072155440
93136630343
101223220000
11578526322
122a17a1b40
13166564422
14b8655c52
15725c5850
hex48e8db20

1223220000 has 480 divisors, whose sum is σ = 4487313600. Its totient is φ = 290304000.

The previous prime is 1223219999. The next prime is 1223220043. The reversal of 1223220000 is 223221.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33059982 + ... + 33060018.

It is an arithmetic number, because the mean of its divisors is an integer number (9348570).

Almost surely, 21223220000 is an apocalyptic number.

1223220000 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 1223220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243656800).

1223220000 is an abundant number, since it is smaller than the sum of its proper divisors (3264093600).

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

1223220000 is a wasteful number, since it uses less digits than its factorization.

1223220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1223220000 is about 34974.5621845363. The cubic root of 1223220000 is about 1069.4689769052.

Adding to 1223220000 its reverse (223221), we get a palindrome (1223443221).

The spelling of 1223220000 in words is "one billion, two hundred twenty-three million, two hundred twenty thousand".