Search a number
-
+
1133222020 = 225721011072
BaseRepresentation
bin100001110001011…
…1001100010000100
32220222100122100221
41003202321202010
54310101101040
6304240514124
740040141200
oct10342714204
92828318327
101133222020
11531746527
1227761b944
13150a13398
14aa709b00
156974974a
hex438b9884

1133222020 has 108 divisors (see below), whose sum is σ = 2822080716. Its totient is φ = 381091200.

The previous prime is 1133222003. The next prime is 1133222021. The reversal of 1133222020 is 202223311.

It can be written as a sum of positive squares in 2 ways, for example, as 810085444 + 323136576 = 28462^2 + 17976^2 .

It is a super-2 number, since 2×11332220202 = 2568384293225760800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133221985 and 1133222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133222021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10590807 + ... + 10590913.

It is an arithmetic number, because the mean of its divisors is an integer number (26130377).

Almost surely, 21133222020 is an apocalyptic number.

1133222020 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 1133222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411040358).

1133222020 is an abundant number, since it is smaller than the sum of its proper divisors (1688858696).

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

1133222020 is a wasteful number, since it uses less digits than its factorization.

1133222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1133222020 is about 33663.3631712579. The cubic root of 1133222020 is about 1042.5694663171.

Adding to 1133222020 its reverse (202223311), we get a palindrome (1335445331).

The spelling of 1133222020 in words is "one billion, one hundred thirty-three million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 107 140 196 202 214 245 404 428 490 505 535 707 749 980 1010 1070 1414 1498 2020 2140 2828 2996 3535 3745 4949 5243 7070 7490 9898 10486 10807 11449 14140 14980 19796 20972 21614 22898 24745 26215 43228 45796 49490 52430 54035 57245 75649 80143 98980 104860 108070 114490 151298 160286 216140 228980 302596 320572 378245 400715 529543 561001 756490 801430 1059086 1122002 1156349 1512980 1602860 2118172 2244004 2312698 2647715 2805005 4625396 5295430 5610010 5781745 8094443 10590860 11220020 11563490 16188886 23126980 32377772 40472215 56661101 80944430 113322202 161888860 226644404 283305505 566611010 1133222020