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220040000 = 26545501
BaseRepresentation
bin11010001110110…
…00101101000000
3120100001012010122
431013120231000
5422312240000
633500115412
75311211015
oct1507305500
9510035118
10220040000
11103230344
1261835b68
13367829ab
142131b70c
15144b7085
hexd1d8b40

220040000 has 70 divisors (see below), whose sum is σ = 545726874. Its totient is φ = 88000000.

The previous prime is 220039979. The next prime is 220040021. The reversal of 220040000 is 40022.

It is an interprime number because it is at equal distance from previous prime (220039979) and next prime (220040021).

It can be written as a sum of positive squares in 5 ways, for example, as 26050816 + 193989184 = 5104^2 + 13928^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 220040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37250 + ... + 42750.

Almost surely, 2220040000 is an apocalyptic number.

220040000 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 220040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272863437).

220040000 is an abundant number, since it is smaller than the sum of its proper divisors (325686874).

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

220040000 is an frugal number, since it uses more digits than its factorization.

220040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 220040000 is about 14833.7453126309. The cubic root of 220040000 is about 603.7176581944.

Adding to 220040000 its reverse (40022), we get a palindrome (220080022).

The spelling of 220040000 in words is "two hundred twenty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 5501 8000 10000 11002 20000 22004 27505 40000 44008 55010 88016 110020 137525 176032 220040 275050 352064 440080 550100 687625 880160 1100200 1375250 1760320 2200400 2750500 3438125 4400800 5501000 6876250 8801600 11002000 13752500 22004000 27505000 44008000 55010000 110020000 220040000