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2420000224 = 25731035959
BaseRepresentation
bin1001000000111110…
…0100010111100000
320020122122202012221
42100033210113200
514424010001344
61040045000424
7113653443145
oct22017442740
96218582187
102420000224
111032032a94
12576553114
132c749c1c5
1418d5883cc
15e26c7184
hex903e45e0

2420000224 has 24 divisors (see below), whose sum is σ = 4829645520. Its totient is φ = 1193423616.

The previous prime is 2420000221. The next prime is 2420000257. The reversal of 2420000224 is 4220000242.

It is a super-3 number, since 3×24200002243 (a number of 29 digits) contains 333 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 = 2420000198 and 2420000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 515644 + ... + 520315.

It is an arithmetic number, because the mean of its divisors is an integer number (201235230).

Almost surely, 22420000224 is an apocalyptic number.

It is an amenable number.

2420000224 is a deficient number, since it is larger than the sum of its proper divisors (2409645296).

2420000224 is a wasteful number, since it uses less digits than its factorization.

2420000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036042 (or 1036034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2420000224 is about 49193.4977817191. The cubic root of 2420000224 is about 1342.5747303411.

Adding to 2420000224 its reverse (4220000242), we get a palindrome (6640000466).

The spelling of 2420000224 in words is "two billion, four hundred twenty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 73 146 292 584 1168 2336 1035959 2071918 4143836 8287672 16575344 33150688 75625007 151250014 302500028 605000056 1210000112 2420000224