Search a number
-
+
220440120 = 23352696829
BaseRepresentation
bin11010010001110…
…10011000111000
3120100210111222220
431020322120320
5422413040440
633512444040
75314465365
oct1510723070
9510714886
10220440120
11103483a1a
12619a9620
1336892b54
14213c346c
15145458d0
hexd23a638

220440120 has 64 divisors (see below), whose sum is σ = 663876000. Its totient is φ = 58556928.

The previous prime is 220440097. The next prime is 220440133. The reversal of 220440120 is 21044022.

It is a super-2 number, since 2×2204401202 = 97187693011228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220440120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28866 + ... + 35694.

Almost surely, 2220440120 is an apocalyptic number.

220440120 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 220440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331938000).

220440120 is an abundant number, since it is smaller than the sum of its proper divisors (443435880).

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

220440120 is a wasteful number, since it uses less digits than its factorization.

220440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 220440120 is about 14847.2260035335. The cubic root of 220440120 is about 604.0833693380.

Adding to 220440120 its reverse (21044022), we get a palindrome (241484142).

It can be divided in two parts, 2204 and 40120, that added together give a palindrome (42324).

The spelling of 220440120 in words is "two hundred twenty million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 6829 8070 10760 13658 16140 20487 27316 32280 34145 40974 54632 68290 81948 102435 136580 163896 204870 273160 409740 819480 1837001 3674002 5511003 7348004 9185005 11022006 14696008 18370010 22044012 27555015 36740020 44088024 55110030 73480040 110220060 220440120