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8213223128 = 231193332081
BaseRepresentation
bin1111010011000101…
…11101011011011000
3210012101121222001012
413221202331123120
5113310041120003
63434553513052
7410350146635
oct75142753330
923171558035
108213223128
113535172110
121712712788
13a0b77a056
1457cb2d18c
153310b78d8
hex1e98bd6d8

8213223128 has 16 divisors (see below), whose sum is σ = 16799774760. Its totient is φ = 3733283200.

The previous prime is 8213223121. The next prime is 8213223133.

8213223128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8213223094 and 8213223103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213223121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46665953 + ... + 46666128.

Almost surely, 28213223128 is an apocalyptic number.

8213223128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8213223128 is an abundant number, since it is smaller than the sum of its proper divisors (8586551632).

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

8213223128 is a wasteful number, since it uses less digits than its factorization.

8213223128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93332098 (or 93332094 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 8213223128 is about 90626.8344807431. The cubic root of 8213223128 is about 2017.6130292755.

The spelling of 8213223128 in words is "eight billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 93332081 186664162 373328324 746656648 1026652891 2053305782 4106611564 8213223128