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10223928008 = 237251072
BaseRepresentation
bin10011000010110010…
…01100001011001000
3222101112010100121022
421201121030023020
5131414311144013
64410302132012
7511233645200
oct114131141310
928345110538
1010223928008
114377160488
121b93b81008
13c6c201a58
146cdbb3400
153ec892008
hex26164c2c8

10223928008 has 36 divisors (see below), whose sum is σ = 22304006235. Its totient is φ = 4380825456.

The previous prime is 10223927969. The next prime is 10223928037. The reversal of 10223928008 is 80082932201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5111964004 + 5111964004 = 71498^2 + 71498^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71498.

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 8 ways as a sum of consecutive naturals, for example, 1999391 + ... + 2004497.

Almost surely, 210223928008 is an apocalyptic number.

It is an amenable number.

10223928008 is an abundant number, since it is smaller than the sum of its proper divisors (12080078227).

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

10223928008 is an frugal number, since it uses more digits than its factorization.

10223928008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 10223928008 in words is "ten billion, two hundred twenty-three million, nine hundred twenty-eight thousand, eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 5107 10214 20428 35749 40856 71498 142996 250243 285992 500486 1000972 2001944 26081449 52162898 104325796 182570143 208651592 365140286 730280572 1277991001 1460561144 2555982002 5111964004 10223928008