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10223999800 = 23527107131521
BaseRepresentation
bin10011000010110010…
…11101101100111000
3222101112021000002021
421201121131230320
5131414320443200
64410303444224
7511234364410
oct114131355470
928345230067
1010223999800
1143771aa413
121b93bb6674
13c6c228631
146cdbd1640
153ec8a841a
hex26165db38

10223999800 has 192 divisors, whose sum is σ = 27682871040. Its totient is φ = 3439488000.

The previous prime is 10223999777. The next prime is 10223999833. The reversal of 10223999800 is 899932201.

10223999800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 19623540 + ... + 19624060.

It is an arithmetic number, because the mean of its divisors is an integer number (144181620).

Almost surely, 210223999800 is an apocalyptic number.

10223999800 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 10223999800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841435520).

10223999800 is an abundant number, since it is smaller than the sum of its proper divisors (17458871240).

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

10223999800 is a wasteful number, since it uses less digits than its factorization.

10223999800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 10223999800 in words is "ten billion, two hundred twenty-three million, nine hundred ninety-nine thousand, eight hundred".