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1161241224 = 2331113794283
BaseRepresentation
bin100010100110111…
…0010001010001000
32222221002011111020
41011031302022020
54334234204344
6311121232440
740530246633
oct10515621210
92887064436
101161241224
115465437a0
12284a92720
131567738b0
14b0320c1a
156be31719
hex45372288

1161241224 has 128 divisors (see below), whose sum is σ = 3454617600. Its totient is φ = 320636160.

The previous prime is 1161241163. The next prime is 1161241231. The reversal of 1161241224 is 4221421611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1161241194 and 1161241203.

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, 268987 + ... + 273269.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 21161241224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

1161241224 is an abundant number, since it is smaller than the sum of its proper divisors (2293376376).

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

1161241224 is a wasteful number, since it uses less digits than its factorization.

1161241224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4391 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1161241224 is about 34076.9896557780. The cubic root of 1161241224 is about 1051.0922040911.

Adding to 1161241224 its reverse (4221421611), we get a palindrome (5382662835).

The spelling of 1161241224 in words is "one billion, one hundred sixty-one million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 79 88 104 132 143 156 158 237 264 286 312 316 429 474 572 632 858 869 948 1027 1144 1716 1738 1896 2054 2607 3081 3432 3476 4108 4283 5214 6162 6952 8216 8566 10428 11297 12324 12849 17132 20856 22594 24648 25698 33891 34264 45188 47113 51396 55679 67782 90376 94226 102792 111358 135564 141339 167037 188452 222716 271128 282678 334074 338357 376904 445432 565356 612469 668148 676714 1015071 1130712 1224938 1336296 1353428 1837407 2030142 2449876 2706856 3674814 3721927 4060284 4398641 4899752 7349628 7443854 8120568 8797282 11165781 13195923 14699256 14887708 17594564 22331562 26391846 29775416 35189128 44663124 48385051 52783692 89326248 96770102 105567384 145155153 193540204 290310306 387080408 580620612 1161241224