Search a number
-
+
2231434320 = 24359297643
BaseRepresentation
bin1000010100000000…
…1111110001010000
312202111211121102120
42011000033301100
514032221344240
61005231214240
7106203610263
oct20500176120
95674747376
102231434320
11a4564a6a5
12523377380
132973b944b
14172500cda
15d0d7aad0
hex8500fc50

2231434320 has 40 divisors (see below), whose sum is σ = 6917447136. Its totient is φ = 595049088.

The previous prime is 2231434313. The next prime is 2231434327. The reversal of 2231434320 is 234341322.

It is an interprime number because it is at equal distance from previous prime (2231434313) and next prime (2231434327).

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

It is a super-3 number, since 3×22314343203 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231434327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4648582 + ... + 4649061.

Almost surely, 22231434320 is an apocalyptic number.

2231434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231434320 is an abundant number, since it is smaller than the sum of its proper divisors (4686012816).

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

2231434320 is a wasteful number, since it uses less digits than its factorization.

2231434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297659 (or 9297653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2231434320 is about 47238.0600787120. The cubic root of 2231434320 is about 1306.7566015890.

Adding to 2231434320 its reverse (234341322), we get a palindrome (2465775642).

The spelling of 2231434320 in words is "two billion, two hundred thirty-one million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9297643 18595286 27892929 37190572 46488215 55785858 74381144 92976430 111571716 139464645 148762288 185952860 223143432 278929290 371905720 446286864 557858580 743811440 1115717160 2231434320