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220220040 = 233517107951
BaseRepresentation
bin11010010000001…
…00101010001000
3120100101100002210
431020010222020
5422334020130
633504025120
75312560635
oct1510045210
9510340083
10220220040
11103343637
12619021a0
1336816921
142136718c
15145005b0
hexd204a88

220220040 has 64 divisors (see below), whose sum is σ = 699528960. Its totient is φ = 55270400.

The previous prime is 220219991. The next prime is 220220053. The reversal of 220220040 is 40022022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 220219998 and 220220025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51936 + ... + 56015.

It is an arithmetic number, because the mean of its divisors is an integer number (10930140).

Almost surely, 2220220040 is an apocalyptic number.

220220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220220040 is an abundant number, since it is smaller than the sum of its proper divisors (479308920).

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

220220040 is a wasteful number, since it uses less digits than its factorization.

220220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107982 (or 107978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220220040 is about 14839.8126672812. The cubic root of 220220040 is about 603.8822702283.

Adding to 220220040 its reverse (40022022), we get a palindrome (260242062).

The spelling of 220220040 in words is "two hundred twenty million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 107951 215902 323853 431804 539755 647706 863608 1079510 1295412 1619265 1835167 2159020 2590824 3238530 3670334 4318040 5505501 6477060 7340668 9175835 11011002 12954120 14681336 18351670 22022004 27527505 36703340 44044008 55055010 73406680 110110020 220220040