Search a number
-
+
1110052220 = 225235874111
BaseRepresentation
bin100001000101010…
…0000110101111100
32212100202111101012
41002022200311330
54233133132340
6302052134352
736336200564
oct10212406574
92770674335
101110052220
1151a660732
1226b9073b8
13148c90244
14a75d7da4
15676be565
hex422a0d7c

1110052220 has 48 divisors (see below), whose sum is σ = 2437198848. Its totient is φ = 423888960.

The previous prime is 1110052217. The next prime is 1110052241. The reversal of 1110052220 is 222500111.

It is a super-2 number, since 2×11100522202 = 2464431862253856800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110052195 and 1110052204.

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, 267965 + ... + 272075.

It is an arithmetic number, because the mean of its divisors is an integer number (50774976).

Almost surely, 21110052220 is an apocalyptic number.

1110052220 is a gapful number since it is divisible by the number (10) 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 1110052220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218599424).

1110052220 is an abundant number, since it is smaller than the sum of its proper divisors (1327146628).

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

1110052220 is a wasteful number, since it uses less digits than its factorization.

1110052220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 1110052220 is about 33317.4461806424. The cubic root of 1110052220 is about 1035.4150419883.

Adding to 1110052220 its reverse (222500111), we get a palindrome (1332552331).

It can be divided in two parts, 111005 and 2220, that multiplied together give a triangular number (246431100 = T22200).

The spelling of 1110052220 in words is "one billion, one hundred ten million, fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 587 1174 2348 2935 4111 5870 8222 11740 13501 16444 20555 27002 41110 54004 67505 82220 94553 135010 189106 270020 378212 472765 945530 1891060 2413157 4826314 9652628 12065785 24131570 48263140 55502611 111005222 222010444 277513055 555026110 1110052220