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23214230120 = 235976179697
BaseRepresentation
bin10101100111101011…
…010000101001101000
32012220211200002001202
4111213223100221220
5340020320330440
614355305303332
71451161462124
oct254753205150
965824602052
1023214230120
119932911754
1245ba494b48
13225c589553
1411a3136584
1590d02a615
hex567ad0a68

23214230120 has 64 divisors (see below), whose sum is σ = 52861470480. Its totient is φ = 9174122496.

The previous prime is 23214230113. The next prime is 23214230129. The reversal of 23214230120 is 2103241232.

It can be written as a sum of positive squares in 8 ways, for example, as 660798436 + 22553431684 = 25706^2 + 150178^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23214230092 and 23214230101.

It is not an unprimeable number, because it can be changed into a prime (23214230129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2389112 + ... + 2398808.

Almost surely, 223214230120 is an apocalyptic number.

23214230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23214230120 is an abundant number, since it is smaller than the sum of its proper divisors (29647240360).

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

23214230120 is a wasteful number, since it uses less digits than its factorization.

23214230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422 (or 10418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23214230120 its reverse (2103241232), we get a palindrome (25317471352).

It can be divided in two parts, 232142 and 30120, that added together give a palindrome (262262).

The spelling of 23214230120 in words is "twenty-three billion, two hundred fourteen million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 617 776 970 1234 1940 2468 3085 3880 4936 6170 9697 12340 19394 24680 38788 48485 59849 77576 96970 119698 193940 239396 299245 387880 478792 598490 940609 1196980 1881218 2393960 3762436 4703045 5983049 7524872 9406090 11966098 18812180 23932196 29915245 37624360 47864392 59830490 119660980 239321960 580355753 1160711506 2321423012 2901778765 4642846024 5803557530 11607115060 23214230120