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20220032 = 27722567
BaseRepresentation
bin100110100100…
…0100010000000
31102001021200002
41031020202000
520134020112
62001215132
7333603350
oct115104200
942037602
1020220032
1110460678
1269314a8
13425c621
142984b60
151b961c2
hex1348880

20220032 has 32 divisors (see below), whose sum is σ = 46038720. Its totient is φ = 8665344.

The previous prime is 20220023. The next prime is 20220041. The reversal of 20220032 is 23002202.

20220032 = T113 + T114 + ... + T496.

It is an interprime number because it is at equal distance from previous prime (20220023) and next prime (20220041).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20219995 and 20220022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10388 + ... + 12179.

It is an arithmetic number, because the mean of its divisors is an integer number (1438710).

Almost surely, 220220032 is an apocalyptic number.

It is an amenable number.

20220032 is an abundant number, since it is smaller than the sum of its proper divisors (25818688).

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

20220032 is an equidigital number, since it uses as much as digits as its factorization.

20220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22588 (or 22576 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 20220032 is about 4496.6689893742. The cubic root of 20220032 is about 272.4335645916.

Adding to 20220032 its reverse (23002202), we get a palindrome (43222234).

The spelling of 20220032 in words is "twenty million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 22567 45134 90268 157969 180536 315938 361072 631876 722144 1263752 1444288 2527504 2888576 5055008 10110016 20220032