Search a number
-
+
1123022320 = 24572005397
BaseRepresentation
bin100001011101111…
…1111010111110000
32220021011110000021
41002323333113300
54244443203240
6303234133224
736554350360
oct10273772760
92807143007
101123022320
11526a0a322
12274121214
1314b881964
14a92129a0
15688d254a
hex42eff5f0

1123022320 has 40 divisors (see below), whose sum is σ = 2984032224. Its totient is φ = 385036032.

The previous prime is 1123022297. The next prime is 1123022339. The reversal of 1123022320 is 232203211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11230223202 = 2522358262436364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1123022294 and 1123022303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002139 + ... + 1003258.

Almost surely, 21123022320 is an apocalyptic number.

1123022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123022320 is an abundant number, since it is smaller than the sum of its proper divisors (1861009904).

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

1123022320 is a wasteful number, since it uses less digits than its factorization.

1123022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005417 (or 2005411 counting only the distinct ones).

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

The square root of 1123022320 is about 33511.5251816446. The cubic root of 1123022320 is about 1039.4321110669.

Adding to 1123022320 its reverse (232203211), we get a palindrome (1355225531).

The spelling of 1123022320 in words is "one billion, one hundred twenty-three million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2005397 4010794 8021588 10026985 14037779 16043176 20053970 28075558 32086352 40107940 56151116 70188895 80215880 112302232 140377790 160431760 224604464 280755580 561511160 1123022320