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10227145500 = 223253111323691
BaseRepresentation
bin10011000011001010…
…11101101100011100
3222101202011211011200
421201211131230130
5131421122124000
64410455115500
7511303205505
oct114145355434
928352154150
1010227145500
114378a58870
121b95072b90
13c6ca8a3b0
146d03adbac
153eccca500
hex26195db1c

10227145500 has 576 divisors, whose sum is σ = 39608884224. Its totient is φ = 2185920000.

The previous prime is 10227145471. The next prime is 10227145517. The reversal of 10227145500 is 554172201.

10227145500 is a `hidden beast` number, since 10 + 2 + 2 + 7 + 145 + 500 = 666.

10227145500 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 191 ways as a sum of consecutive naturals, for example, 14800155 + ... + 14800845.

It is an arithmetic number, because the mean of its divisors is an integer number (68765424).

Almost surely, 210227145500 is an apocalyptic number.

10227145500 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 10227145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804442112).

10227145500 is an abundant number, since it is smaller than the sum of its proper divisors (29381738724).

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

10227145500 is a wasteful number, since it uses less digits than its factorization.

10227145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 10227145500 in words is "ten billion, two hundred twenty-seven million, one hundred forty-five thousand, five hundred".