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9000222931 = 7453107661
BaseRepresentation
bin10000110000111010…
…01000000011010011
3212020020111200211001
420120131020003103
5121413024113211
64045030002431
7436014430000
oct103035100323
925206450731
109000222931
1138a9433777
1218b21a6417
13b0582a8cb
146154728a7
1537a222ac1
hex2187480d3

9000222931 has 40 divisors (see below), whose sum is σ = 10814055984. Its totient is φ = 7486839360.

The previous prime is 9000222911. The next prime is 9000222971. The reversal of 9000222931 is 1392220009.

It is not a de Polignac number, because 9000222931 - 25 = 9000222899 is a prime.

It is a super-2 number, since 2×90002229312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9000222931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000222911) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 13615741 + ... + 13616401.

Almost surely, 29000222931 is an apocalyptic number.

9000222931 is a deficient number, since it is larger than the sum of its proper divisors (1813833053).

9000222931 is an equidigital number, since it uses as much as digits as its factorization.

9000222931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 9000222931 is about 94869.5047473107. The cubic root of 9000222931 is about 2080.1009975459.

The spelling of 9000222931 in words is "nine billion, two hundred twenty-two thousand, nine hundred thirty-one".

Divisors: 1 7 49 53 107 343 371 661 749 2401 2597 4627 5243 5671 18179 32389 35033 36701 39697 70727 127253 226723 245231 256907 277879 495089 1587061 1716617 1945153 3465623 3748531 12016319 13616071 24259361 26239717 84114233 169815527 183678019 1285746133 9000222931