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1000222421 = 11217736661
BaseRepresentation
bin111011100111100…
…010111011010101
32120201002120012212
4323213202323111
54022024104141
6243130123205
733533515232
oct7347427325
92521076185
101000222421
11473665a00
1223ab80505
1312c2b74b3
1496ba8789
155cc272eb
hex3b9e2ed5

1000222421 has 24 divisors (see below), whose sum is σ = 1180213272. Its totient is φ = 843955200.

The previous prime is 1000222381. The next prime is 1000222423. The reversal of 1000222421 is 1242220001.

It can be written as a sum of positive squares in 4 ways, for example, as 558802321 + 441420100 = 23639^2 + 21010^2 .

It is a de Polignac number, because none of the positive numbers 2k-1000222421 is a prime.

It is a super-2 number, since 2×10002224212 = 2000889782942202482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000222396 and 1000222405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000222423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146831 + ... + 153491.

It is an arithmetic number, because the mean of its divisors is an integer number (49175553).

Almost surely, 21000222421 is an apocalyptic number.

1000222421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000222421 is a deficient number, since it is larger than the sum of its proper divisors (179990851).

1000222421 is a wasteful number, since it uses less digits than its factorization.

1000222421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6762 counting only the distinct ones).

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

The square root of 1000222421 is about 31626.2931909511. The cubic root of 1000222421 is about 1000.0741348372.

Adding to 1000222421 its reverse (1242220001), we get a palindrome (2242442422).

It can be divided in two parts, 10002 and 22421, that added together give a palindrome (32423).

The spelling of 1000222421 in words is "one billion, two hundred twenty-two thousand, four hundred twenty-one".

Divisors: 1 11 17 73 121 187 803 1241 2057 6661 8833 13651 73271 113237 150161 486253 805981 1245607 5348783 8266301 13701677 58836613 90929311 1000222421