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220022240 = 2558915451
BaseRepresentation
bin11010001110101…
…00010111100000
3120100000021202212
431013110113200
5422311202430
633455501252
75311105154
oct1507242740
9510007685
10220022240
11103218a69
1261827828
1336777899
1421315064
15144b1b95
hexd1d45e0

220022240 has 48 divisors (see below), whose sum is σ = 525677040. Its totient is φ = 87014400.

The previous prime is 220022233. The next prime is 220022249. The reversal of 220022240 is 42220022.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6515 + ... + 21965.

It is an arithmetic number, because the mean of its divisors is an integer number (10951605).

Almost surely, 2220022240 is an apocalyptic number.

220022240 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 220022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262838520).

220022240 is an abundant number, since it is smaller than the sum of its proper divisors (305654800).

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

220022240 is a wasteful number, since it uses less digits than its factorization.

220022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15555 (or 15547 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 220022240 is about 14833.1466654921. The cubic root of 220022240 is about 603.7014152172.

Adding to 220022240 its reverse (42220022), we get a palindrome (262242262).

It can be divided in two parts, 22002 and 2240, that added together give a palindrome (24242).

The spelling of 220022240 in words is "two hundred twenty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 14240 15451 30902 61804 77255 123608 154510 247216 309020 494432 618040 1236080 1375139 2472160 2750278 5500556 6875695 11001112 13751390 22002224 27502780 44004448 55005560 110011120 220022240