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20422224 = 2432373833
BaseRepresentation
bin100110111100…
…1111001010000
31102102120000200
41031321321100
520212002344
62005415200
7335405004
oct115717120
942376020
1020422224
1110589579
126a0a500
134300674
1429d8704
151bd6069
hex1379e50

20422224 has 60 divisors (see below), whose sum is σ = 58713876. Its totient is φ = 6621696.

The previous prime is 20422189. The next prime is 20422243. The reversal of 20422224 is 42222402.

20422224 is a `hidden beast` number, since 20 + 422 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 8643600 = 3432^2 + 2940^2 .

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 = 20422197 and 20422206.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3412 + ... + 7244.

Almost surely, 220422224 is an apocalyptic number.

20422224 is a gapful number since it is divisible by the number (24) 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 20422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29356938).

20422224 is an abundant number, since it is smaller than the sum of its proper divisors (38291652).

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

20422224 is a wasteful number, since it uses less digits than its factorization.

20422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20422224 is about 4519.0954847182. The cubic root of 20422224 is about 273.3386290203.

Adding to 20422224 its reverse (42222402), we get a palindrome (62644626).

The spelling of 20422224 in words is "twenty million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 3833 5328 7666 11499 15332 22998 30664 34497 45996 61328 68994 91992 137988 141821 183984 275976 283642 425463 551952 567284 850926 1134568 1276389 1701852 2269136 2552778 3403704 5105556 6807408 10211112 20422224