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220235040 = 25325152941
BaseRepresentation
bin11010010000010…
…00010100100000
3120100102002200100
431020020110200
5422340010130
633504222400
75312652444
oct1510102440
9510362610
10220235040
11103353933
126190aa00
13368206bc
142136c824
1514504c60
hexd208520

220235040 has 72 divisors (see below), whose sum is σ = 751556988. Its totient is φ = 58728960.

The previous prime is 220235021. The next prime is 220235053. The reversal of 220235040 is 40532022.

It can be written as a sum of positive squares in 2 ways, for example, as 207014544 + 13220496 = 14388^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75031 + ... + 77910.

Almost surely, 2220235040 is an apocalyptic number.

220235040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220235040 is an abundant number, since it is smaller than the sum of its proper divisors (531321948).

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

220235040 is a wasteful number, since it uses less digits than its factorization.

220235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152962 (or 152951 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220235040 is about 14840.3180558909. The cubic root of 220235040 is about 603.8959808006.

Adding to 220235040 its reverse (40532022), we get a palindrome (260767062).

The spelling of 220235040 in words is "two hundred twenty million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 152941 305882 458823 611764 764705 917646 1223528 1376469 1529410 1835292 2294115 2447056 2752938 3058820 3670584 4588230 4894112 5505876 6117640 6882345 7341168 9176460 11011752 12235280 13764690 14682336 18352920 22023504 24470560 27529380 36705840 44047008 55058760 73411680 110117520 220235040