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22190420 = 2257315113
BaseRepresentation
bin101010010100…
…1100101010100
31112202101112102
41110221211110
521140043140
62111341232
7356421050
oct124514524
945671472
1022190420
1111586a9a
127521818
13479c435
142d38c60
151e34e15
hex1529954

22190420 has 48 divisors (see below), whose sum is σ = 54985728. Its totient is φ = 7361280.

The previous prime is 22190401. The next prime is 22190447. The reversal of 22190420 is 2409122.

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 = 22190392 and 22190401.

It is a congruent number.

It is an unprimeable number.

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, 1784 + ... + 6896.

It is an arithmetic number, because the mean of its divisors is an integer number (1145536).

Almost surely, 222190420 is an apocalyptic number.

22190420 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 22190420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27492864).

22190420 is an abundant number, since it is smaller than the sum of its proper divisors (32795308).

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

22190420 is a wasteful number, since it uses less digits than its factorization.

22190420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 22190420 is about 4710.6708651741. The cubic root of 22190420 is about 281.0100425737.

Adding to 22190420 its reverse (2409122), we get a palindrome (24599542).

The spelling of 22190420 in words is "twenty-two million, one hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 5113 10226 20452 25565 35791 51130 71582 102260 143164 158503 178955 317006 357910 634012 715820 792515 1109521 1585030 2219042 3170060 4438084 5547605 11095210 22190420