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1422122420 = 2251710141413
BaseRepresentation
bin101010011000011…
…1101110110110100
310200002222022012202
41110300331312310
510403030404140
6353041004032
750145561335
oct12460756664
93602868182
101422122420
1166a829694
12338323618
13198825c74
14d6c3028c
1584cb4915
hex54c3ddb4

1422122420 has 48 divisors (see below), whose sum is σ = 3193516368. Its totient is φ = 530073600.

The previous prime is 1422122411. The next prime is 1422122441. The reversal of 1422122420 is 242212241.

It can be written as a sum of positive squares in 8 ways, for example, as 362750116 + 1059372304 = 19046^2 + 32548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1422122392 and 1422122401.

It is a congruent number.

It is an unprimeable number.

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, 13634 + ... + 55046.

It is an arithmetic number, because the mean of its divisors is an integer number (66531591).

Almost surely, 21422122420 is an apocalyptic number.

1422122420 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 1422122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596758184).

1422122420 is an abundant number, since it is smaller than the sum of its proper divisors (1771393948).

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

1422122420 is a wasteful number, since it uses less digits than its factorization.

1422122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41540 (or 41538 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1422122420 is about 37711.0384370412. The cubic root of 1422122420 is about 1124.5505813117.

Adding to 1422122420 its reverse (242212241), we get a palindrome (1664334661).

The spelling of 1422122420 in words is "one billion, four hundred twenty-two million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 41413 82826 165652 207065 414130 704021 828260 1408042 2816084 3520105 4182713 7040210 8365426 14080420 16730852 20913565 41827130 71106121 83654260 142212242 284424484 355530605 711061210 1422122420