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10227600000 = 273355947
BaseRepresentation
bin10011000011001110…
…01100101010000000
3222101210000220122000
421201213030222000
5131421231200000
64410512544000
7511310110542
oct114147145200
928353026560
1010227600000
114379239292
121b95252000
13c6cbb9227
146d048b692
153ecd6a000
hex2619cca80

10227600000 has 384 divisors, whose sum is σ = 37769457600. Its totient is φ = 2724480000.

The previous prime is 10227599897. The next prime is 10227600001. The reversal of 10227600000 is 672201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10227600001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10799527 + ... + 10800473.

Almost surely, 210227600000 is an apocalyptic number.

10227600000 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 10227600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884728800).

10227600000 is an abundant number, since it is smaller than the sum of its proper divisors (27541857600).

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

10227600000 is an frugal number, since it uses more digits than its factorization.

10227600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The spelling of 10227600000 in words is "ten billion, two hundred twenty-seven million, six hundred thousand".