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1134440220 = 2235199710259
BaseRepresentation
bin100001110011110…
…0010111100011100
32221001122112102110
41003213202330130
54310404041340
6304322554020
740053403614
oct10347427434
92831575373
101134440220
115323a8801
12277b08910
1315104ba04
14aa945a44
15698da680
hex439e2f1c

1134440220 has 96 divisors (see below), whose sum is σ = 3378412800. Its totient is φ = 283613184.

The previous prime is 1134440207. The next prime is 1134440231. The reversal of 1134440220 is 220444311.

It is a super-2 number, since 2×11344402202 = 2573909225507296800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105451 + ... + 115709.

It is an arithmetic number, because the mean of its divisors is an integer number (35191800).

Almost surely, 21134440220 is an apocalyptic number.

1134440220 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 1134440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689206400).

1134440220 is an abundant number, since it is smaller than the sum of its proper divisors (2243972580).

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

1134440220 is a wasteful number, since it uses less digits than its factorization.

1134440220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10387 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1134440220 is about 33681.4521658434. The cubic root of 1134440220 is about 1042.9429157306.

Adding to 1134440220 its reverse (220444311), we get a palindrome (1354884531).

The spelling of 1134440220 in words is "one billion, one hundred thirty-four million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 97 114 190 194 228 285 291 380 388 485 570 582 970 1140 1164 1455 1843 1940 2910 3686 5529 5820 7372 9215 10259 11058 18430 20518 22116 27645 30777 36860 41036 51295 55290 61554 102590 110580 123108 153885 194921 205180 307770 389842 584763 615540 779684 974605 995123 1169526 1949210 1990246 2339052 2923815 2985369 3898420 3980492 4975615 5847630 5970738 9951230 11695260 11941476 14926845 18907337 19902460 29853690 37814674 56722011 59707380 75629348 94536685 113444022 189073370 226888044 283610055 378146740 567220110 1134440220