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8240220428 = 22111929339887
BaseRepresentation
bin1111010110010011…
…11100100100001100
3210021021102120101012
413223021330210030
5113333444023203
63441400304352
7411125501156
oct75311744414
923237376335
108240220428
113549431630
12171b7720b8
13a1424039b
14582559ad6
1533364bbd8
hex1eb27c90c

8240220428 has 48 divisors (see below), whose sum is σ = 17130355200. Its totient is φ = 3426050880.

The previous prime is 8240220389. The next prime is 8240220431.

It is a happy number.

8240220428 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8240220394 and 8240220403.

It is an unprimeable number.

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, 145700 + ... + 194187.

It is an arithmetic number, because the mean of its divisors is an integer number (356882400).

Almost surely, 28240220428 is an apocalyptic number.

It is an amenable number.

8240220428 is an abundant number, since it is smaller than the sum of its proper divisors (8890134772).

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

8240220428 is a wasteful number, since it uses less digits than its factorization.

8240220428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339950 (or 339948 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8240220428 is about 90775.6598874390. The cubic root of 8240220428 is about 2019.8212785055.

The spelling of 8240220428 in words is "eight billion, two hundred forty million, two hundred twenty thousand, four hundred twenty-eight".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 6061 12122 24244 339887 679774 1359548 3738757 6457853 7477514 9856723 12915706 14955028 19713446 25831412 39426892 71036383 108423953 142072766 187277737 216847906 284145532 374555474 433695812 749110948 2060055107 4120110214 8240220428