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4218228124 = 2211191501931
BaseRepresentation
bin1111101101101101…
…0000110110011100
3101212222100012011021
43323123100312130
532114331244444
61534323133524
7206350230115
oct37333206634
911788305137
104218228124
111875097250
129988142a4
13522bbb796
142c031d20c
1519a4d0584
hexfb6d0d9c

4218228124 has 24 divisors (see below), whose sum is σ = 8095159296. Its totient is φ = 1907334000.

The previous prime is 4218228109. The next prime is 4218228127.

4218228124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42182281242 = 35586897012209118752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4218228124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218228127) by changing a digit.

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, 242562 + ... + 259369.

It is an arithmetic number, because the mean of its divisors is an integer number (337298304).

Almost surely, 24218228124 is an apocalyptic number.

4218228124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4218228124 is a deficient number, since it is larger than the sum of its proper divisors (3876931172).

4218228124 is a wasteful number, since it uses less digits than its factorization.

4218228124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502137 (or 502135 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 4218228124 is about 64947.8877562619. The cubic root of 4218228124 is about 1615.7593867610.

The spelling of 4218228124 in words is "four billion, two hundred eighteen million, two hundred twenty-eight thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 191 382 764 2101 4202 8404 501931 1003862 2007724 5521241 11042482 22084964 95868821 191737642 383475284 1054557031 2109114062 4218228124