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1220001220 = 225611019901
BaseRepresentation
bin100100010110111…
…1011110111000100
310011000122111001101
41020231323313010
54444310014340
6321020505444
742142560604
oct11055736704
93130574041
101220001220
11576727a79
122a06ab284
131659a8319
14b8058c04
157218bc9a
hex48b7bdc4

1220001220 has 48 divisors (see below), whose sum is σ = 2630050416. Its totient is φ = 475200000.

The previous prime is 1220001199. The next prime is 1220001221. The reversal of 1220001220 is 221000221.

It can be written as a sum of positive squares in 8 ways, for example, as 54051904 + 1165949316 = 7352^2 + 34146^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1220001197 and 1220001206.

It is not an unprimeable number, because it can be changed into a prime (1220001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118270 + ... + 128170.

It is an arithmetic number, because the mean of its divisors is an integer number (54792717).

Almost surely, 21220001220 is an apocalyptic number.

1220001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220001220 is an abundant number, since it is smaller than the sum of its proper divisors (1410049196).

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

1220001220 is a wasteful number, since it uses less digits than its factorization.

1220001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10072 (or 10070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1220001220 is about 34928.5158573908. The cubic root of 1220001220 is about 1068.5300863253.

Adding to 1220001220 its reverse (221000221), we get a palindrome (1441001441).

Subtracting from 1220001220 its reverse (221000221), we obtain a palindrome (999000999).

It can be divided in two parts, 1220001 and 220, that added together give a palindrome (1220221).

The spelling of 1220001220 in words is "one billion, two hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 101 122 202 244 305 404 505 610 1010 1220 2020 6161 9901 12322 19802 24644 30805 39604 49505 61610 99010 123220 198020 603961 1000001 1207922 2000002 2415844 3019805 4000004 5000005 6039610 10000010 12079220 20000020 61000061 122000122 244000244 305000305 610000610 1220001220