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22420424 = 23131931117
BaseRepresentation
bin101010110000…
…1101111001000
31120012002001002
41111201233020
521214423144
62120314132
7361366445
oct125415710
946162032
1022420424
1111723884
127612948
134850030
142d989cc
151e7d14e
hex1561bc8

22420424 has 32 divisors (see below), whose sum is σ = 45547320. Its totient is φ = 10285056.

The previous prime is 22420421. The next prime is 22420427. The reversal of 22420424 is 42402422.

It is an interprime number because it is at equal distance from previous prime (22420421) and next prime (22420427).

It can be written as a sum of positive squares in 4 ways, for example, as 6340324 + 16080100 = 2518^2 + 4010^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22420396 and 22420405.

It is not an unprimeable number, because it can be changed into a prime (22420421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19514 + ... + 20630.

Almost surely, 222420424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22773660).

22420424 is an abundant number, since it is smaller than the sum of its proper divisors (23126896).

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

22420424 is a wasteful number, since it uses less digits than its factorization.

22420424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 22420424 is about 4735.0210136809. The cubic root of 22420424 is about 281.9775982741.

Adding to 22420424 its reverse (42402422), we get a palindrome (64822846).

The spelling of 22420424 in words is "twenty-two million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 193 386 772 1117 1544 2234 2509 4468 5018 8936 10036 14521 20072 29042 58084 116168 215581 431162 862324 1724648 2802553 5605106 11210212 22420424