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10224221420 = 2257210432879
BaseRepresentation
bin10011000010110100…
…10011110011101100
3222101112200021002102
421201122103303230
5131414400041140
64410312314232
7511236306500
oct114132236354
928345607072
1010224221420
114377340976
121b940a2978
13c6c2a547a
146cdc4c300
153ec8ede15
hex261693cec

10224221420 has 36 divisors (see below), whose sum is σ = 24976314720. Its totient is φ = 3505447008.

The previous prime is 10224221417. The next prime is 10224221429. The reversal of 10224221420 is 2412242201.

10224221420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10224221392 and 10224221401.

It is not an unprimeable number, because it can be changed into a prime (10224221429) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5215460 + ... + 5217419.

It is an arithmetic number, because the mean of its divisors is an integer number (693786520).

Almost surely, 210224221420 is an apocalyptic number.

10224221420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224221420 is an abundant number, since it is smaller than the sum of its proper divisors (14752093300).

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

10224221420 is a wasteful number, since it uses less digits than its factorization.

10224221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432902 (or 10432893 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10224221420 its reverse (2412242201), we get a palindrome (12636463621).

The spelling of 10224221420 in words is "ten billion, two hundred twenty-four million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10432879 20865758 41731516 52164395 73030153 104328790 146060306 208657580 292120612 365150765 511211071 730301530 1022422142 1460603060 2044844284 2556055355 5112110710 10224221420