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4228778224 = 2411193124493
BaseRepresentation
bin1111110000001110…
…0000100011110000
3101220201012012011201
43330003200203300
532130031400344
61535341220544
7206536010326
oct37403404360
911821165151
104228778224
111880042740
129a0261754
13525143848
142c18a7d16
1519b3b64d4
hexfc0e08f0

4228778224 has 40 divisors (see below), whose sum is σ = 8984482992. Its totient is φ = 1912197120.

The previous prime is 4228778159. The next prime is 4228778227.

4228778224 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228778227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28279 + ... + 96214.

Almost surely, 24228778224 is an apocalyptic number.

4228778224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4228778224 is an abundant number, since it is smaller than the sum of its proper divisors (4755704768).

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

4228778224 is a wasteful number, since it uses less digits than its factorization.

4228778224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124705 (or 124699 counting only the distinct ones).

The product of its digits is 802816, while the sum is 46.

The square root of 4228778224 is about 65029.0567669561. The cubic root of 4228778224 is about 1617.1053098094.

It can be divided in two parts, 42287782 and 24, that added together give a triangular number (42287806 = T9196).

The spelling of 4228778224 in words is "four billion, two hundred twenty-eight million, seven hundred seventy-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 193 386 772 1544 2123 3088 4246 8492 16984 33968 124493 248986 497972 995944 1369423 1991888 2738846 5477692 10955384 21910768 24027149 48054298 96108596 192217192 264298639 384434384 528597278 1057194556 2114389112 4228778224