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10227024000 = 273253293179
BaseRepresentation
bin10011000011001010…
…00000000010000000
3222101201221122111200
421201211000002000
5131421104232000
64410452341200
7511302161334
oct114145000200
928351848450
1010227024000
114378985556
121b95014800
13c6ca46cbb
146d037b7c4
153ecca4500
hex261940080

10227024000 has 768 divisors, whose sum is σ = 39716352000. Its totient is φ = 2515968000.

The previous prime is 10227023993. The next prime is 10227024013. The reversal of 10227024000 is 42072201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129455961 + ... + 129456039.

It is an arithmetic number, because the mean of its divisors is an integer number (51714000).

Almost surely, 210227024000 is an apocalyptic number.

10227024000 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 10227024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19858176000).

10227024000 is an abundant number, since it is smaller than the sum of its proper divisors (29489328000).

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

10227024000 is a wasteful number, since it uses less digits than its factorization.

10227024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 10227024000 its reverse (42072201), we get a palindrome (10269096201).

The spelling of 10227024000 in words is "ten billion, two hundred twenty-seven million, twenty-four thousand".