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22222420 = 22511831217
BaseRepresentation
bin101010011000…
…1011001010100
31112211000102121
41110301121110
521142104140
62112145324
7356613253
oct124613124
945730377
1022222420
11115a9040
127538244
1347b0b7c
142d4679a
151e3e64a
hex1531654

22222420 has 48 divisors (see below), whose sum is σ = 51565248. Its totient is φ = 7976960.

The previous prime is 22222411. The next prime is 22222427. The reversal of 22222420 is 2422222.

It is a junction number, because it is equal to n+sod(n) for n = 22222394 and 22222403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17652 + ... + 18868.

It is an arithmetic number, because the mean of its divisors is an integer number (1074276).

Almost surely, 222222420 is an apocalyptic number.

22222420 is a gapful number since it is divisible by the number (20) 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 22222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25782624).

22222420 is an abundant number, since it is smaller than the sum of its proper divisors (29342828).

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

22222420 is a wasteful number, since it uses less digits than its factorization.

22222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 22222420 is about 4714.0661853648. The cubic root of 22222420 is about 281.1450558260.

Adding to 22222420 its reverse (2422222), we get a palindrome (24644642).

The spelling of 22222420 in words is "twenty-two million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1217 1660 1826 2434 3652 4565 4868 6085 9130 12170 13387 18260 24340 26774 53548 66935 101011 133870 202022 267740 404044 505055 1010110 1111121 2020220 2222242 4444484 5555605 11111210 22222420