Search a number
-
+
1130227020 = 22365136789
BaseRepresentation
bin100001101011101…
…1110010101001100
32220202201111000000
41003113132111030
54303314231040
6304052404300
740002525336
oct10327362514
92822644000
101130227020
1152aa9031a
12276616690
131502050b0
14aa16a456
1569357130
hex435de54c

1130227020 has 336 divisors, whose sum is σ = 3933226080. Its totient is φ = 270978048.

The previous prime is 1130227013. The next prime is 1130227051. The reversal of 1130227020 is 207220311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1130226984 and 1130227002.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12699136 + ... + 12699224.

It is an arithmetic number, because the mean of its divisors is an integer number (11706030).

Almost surely, 21130227020 is an apocalyptic number.

1130227020 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 1130227020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966613040).

1130227020 is an abundant number, since it is smaller than the sum of its proper divisors (2802999060).

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

1130227020 is a wasteful number, since it uses less digits than its factorization.

1130227020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1130227020 is about 33618.8491772101. The cubic root of 1130227020 is about 1041.6501847277.

Adding to 1130227020 its reverse (207220311), we get a palindrome (1337447331).

It can be divided in two parts, 1130 and 227020, that added together give a triangular number (228150 = T675).

The spelling of 1130227020 in words is "one billion, one hundred thirty million, two hundred twenty-seven thousand, twenty".