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1002230000 = 2454315361
BaseRepresentation
bin111011101111001…
…101000011110000
32120211212120002122
4323233031003300
54023032330000
6243241133412
733556546232
oct7357150360
92524776078
101002230000
11474807262
1223b78a268
1312c83b205
149716c252
155cec2085
hex3bbcd0f0

1002230000 has 200 divisors, whose sum is σ = 2593869696. Its totient is φ = 374400000.

The previous prime is 1002229999. The next prime is 1002230017. The reversal of 1002230000 is 322001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1002230000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16429970 + ... + 16430030.

Almost surely, 21002230000 is an apocalyptic number.

1002230000 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 1002230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296934848).

1002230000 is an abundant number, since it is smaller than the sum of its proper divisors (1591639696).

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

1002230000 is an equidigital number, since it uses as much as digits as its factorization.

1002230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1002230000 is about 31658.0163623686. The cubic root of 1002230000 is about 1000.7427814724.

Adding to 1002230000 its reverse (322001), we get a palindrome (1002552001).

The spelling of 1002230000 in words is "one billion, two million, two hundred thirty thousand".