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1222400322 = 23611213241
BaseRepresentation
bin100100011011100…
…0101100101000010
310011012011101000000
41020313011211002
510000413302242
6321144140430
742202142223
oct11067054502
93135141000
101222400322
11578016500
122a1467716
13166338300
14b84c124a
15724b2a4c
hex48dc5942

1222400322 has 252 divisors, whose sum is σ = 3351918402. Its totient is φ = 333590400.

The previous prime is 1222400303. The next prime is 1222400341. The reversal of 1222400322 is 2230042221.

It is an interprime number because it is at equal distance from previous prime (1222400303) and next prime (1222400341).

It can be written as a sum of positive squares in 3 ways, for example, as 286591041 + 935809281 = 16929^2 + 30591^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1222400295 and 1222400304.

It is an unprimeable number.

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 125 ways as a sum of consecutive naturals, for example, 29814622 + ... + 29814662.

Almost surely, 21222400322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222400322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675959201).

1222400322 is an abundant number, since it is smaller than the sum of its proper divisors (2129518080).

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

1222400322 is a wasteful number, since it uses less digits than its factorization.

1222400322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1222400322 is about 34962.8420183486. The cubic root of 1222400322 is about 1069.2300403082.

Adding to 1222400322 its reverse (2230042221), we get a palindrome (3452442543).

The spelling of 1222400322 in words is "one billion, two hundred twenty-two million, four hundred thousand, three hundred twenty-two".