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10221003220 = 225603784653
BaseRepresentation
bin10011000010011100…
…00010000111010100
3222101022121202112211
421201032002013110
5131413034100340
64410115323204
7511200044131
oct114116020724
928338552484
1010221003220
114375542aaa
121b92bb0504
13c6b7196cc
146cd651588
153ec4b55ea
hex2613821d4

10221003220 has 24 divisors (see below), whose sum is σ = 21467915784. Its totient is φ = 4087675776.

The previous prime is 10221003197. The next prime is 10221003227. The reversal of 10221003220 is 2230012201.

It can be written as a sum of positive squares in 4 ways, for example, as 157703364 + 10063299856 = 12558^2 + 100316^2 .

It is a super-3 number, since 3×102210032203 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221003220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221003227) 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 7 ways as a sum of consecutive naturals, for example, 78414 + ... + 163066.

It is an arithmetic number, because the mean of its divisors is an integer number (894496491).

Almost surely, 210221003220 is an apocalyptic number.

10221003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221003220 is an abundant number, since it is smaller than the sum of its proper divisors (11246912564).

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

10221003220 is a wasteful number, since it uses less digits than its factorization.

10221003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90699 (or 90697 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10221003220 its reverse (2230012201), we get a palindrome (12451015421).

The spelling of 10221003220 in words is "ten billion, two hundred twenty-one million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6037 12074 24148 30185 60370 84653 120740 169306 338612 423265 846530 1693060 511050161 1022100322 2044200644 2555250805 5110501610 10221003220