Search a number
-
+
220113120 = 2535458569
BaseRepresentation
bin11010001111010…
…10100011100000
3120100011220102210
431013222203200
5422322104440
633501442120
75311634133
oct1507524340
9510156383
10220113120
11103280277
1261870340
13367aa066
142133a21a
15144cda80
hexd1ea8e0

220113120 has 48 divisors (see below), whose sum is σ = 693357840. Its totient is φ = 58696704.

The previous prime is 220113107. The next prime is 220113139. The reversal of 220113120 is 21311022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2201131202 = 96899571192268800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 220113096 and 220113105.

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 7 ways as a sum of consecutive naturals, for example, 228805 + ... + 229764.

It is an arithmetic number, because the mean of its divisors is an integer number (14444955).

Almost surely, 2220113120 is an apocalyptic number.

220113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220113120 is an abundant number, since it is smaller than the sum of its proper divisors (473244720).

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

220113120 is a wasteful number, since it uses less digits than its factorization.

220113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458587 (or 458579 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 220113120 is about 14836.2097585603. The cubic root of 220113120 is about 603.7845232285.

Adding to 220113120 its reverse (21311022), we get a palindrome (241424142).

The spelling of 220113120 in words is "two hundred twenty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 458569 917138 1375707 1834276 2292845 2751414 3668552 4585690 5502828 6878535 7337104 9171380 11005656 13757070 14674208 18342760 22011312 27514140 36685520 44022624 55028280 73371040 110056560 220113120