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1221202220 = 225731416863
BaseRepresentation
bin100100011001010…
…0001000100101100
310011002220111111212
41020302201010230
510000111432340
6321102333552
742156022220
oct11062410454
93132814455
101221202220
11577378337
122a0b8a2b8
13166008b84
14b828c780
1572327a65
hex48ca112c

1221202220 has 96 divisors (see below), whose sum is σ = 3099672576. Its totient is φ = 395251200.

The previous prime is 1221202183. The next prime is 1221202223. The reversal of 1221202220 is 222021221.

It is a super-3 number, since 3×12212022203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1221202195 and 1221202204.

It is not an unprimeable number, because it can be changed into a prime (1221202223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174509 + ... + 181371.

It is an arithmetic number, because the mean of its divisors is an integer number (32288256).

Almost surely, 21221202220 is an apocalyptic number.

1221202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549836288).

1221202220 is an abundant number, since it is smaller than the sum of its proper divisors (1878470356).

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

1221202220 is a wasteful number, since it uses less digits than its factorization.

1221202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1221202220 is about 34945.7038847410. The cubic root of 1221202220 is about 1068.8806006628.

Adding to 1221202220 its reverse (222021221), we get a palindrome (1443223441).

The spelling of 1221202220 in words is "one billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 410 434 574 620 820 868 1085 1148 1271 1435 2170 2542 2870 4340 5084 5740 6355 6863 8897 12710 13726 17794 25420 27452 34315 35588 44485 48041 68630 88970 96082 137260 177940 192164 212753 240205 281383 425506 480410 562766 851012 960820 1063765 1125532 1406915 1489271 1969681 2127530 2813830 2978542 3939362 4255060 5627660 5957084 7446355 7878724 8722873 9848405 14892710 17445746 19696810 29785420 34891492 39393620 43614365 61060111 87228730 122120222 174457460 244240444 305300555 610601110 1221202220