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10220223000 = 2335313271967
BaseRepresentation
bin10011000010010110…
…00011101000011000
3222101021011010021210
421201023003220120
5131412334114000
64410050503120
7511160314341
oct114113035030
928337133253
1010220223000
11437505a899
121b92894aa0
13c6b505540
146cd4cb0c8
153ec3ae350
hex2612c3a18

10220223000 has 256 divisors, whose sum is σ = 34502307840. Its totient is φ = 2503872000.

The previous prime is 10220222989. The next prime is 10220223017. The reversal of 10220223000 is 32202201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10568517 + ... + 10569483.

It is an arithmetic number, because the mean of its divisors is an integer number (134774640).

Almost surely, 210220223000 is an apocalyptic number.

10220223000 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 10220223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251153920).

10220223000 is an abundant number, since it is smaller than the sum of its proper divisors (24282084840).

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

10220223000 is a wasteful number, since it uses less digits than its factorization.

10220223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10220223000 its reverse (32202201), we get a palindrome (10252425201).

The spelling of 10220223000 in words is "ten billion, two hundred twenty million, two hundred twenty-three thousand".