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4220110224 = 2432112242201
BaseRepresentation
bin1111101110001001…
…1100010110010000
3101220002212210220200
43323202130112100
532120322011344
61534431335200
7206402226231
oct37342342620
911802783820
104220110224
111876162300
12999381500
135233ca355
142c068d088
1519a753069
hexfb89c590

4220110224 has 90 divisors (see below), whose sum is σ = 12981784998. Its totient is φ = 1278816000.

The previous prime is 4220110211. The next prime is 4220110291.

4220110224 is nontrivially palindromic in base 10.

4220110224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3947860224 + 272250000 = 62832^2 + 16500^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4220110197 and 4220110206.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103677 + ... + 138524.

Almost surely, 24220110224 is an apocalyptic number.

4220110224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4220110224 is an abundant number, since it is smaller than the sum of its proper divisors (8761674774).

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

4220110224 is a wasteful number, since it uses less digits than its factorization.

4220110224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242237 (or 242217 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4220110224 is about 64962.3754491783. The cubic root of 4220110224 is about 1615.9996589386. Note that the first 3 decimals are identical.

It can be divided in two parts, 42201 and 10224, that added together give a palindrome (52425).

The spelling of 4220110224 in words is "four billion, two hundred twenty million, one hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 242201 484402 726603 968804 1453206 1937608 2179809 2664211 2906412 3875216 4359618 5328422 5812824 7992633 8719236 10656844 11625648 15985266 17438472 21313688 23977899 29306321 31970532 34876944 42627376 47955798 58612642 63941064 87918963 95911596 117225284 127882128 175837926 191823192 234450568 263756889 351675852 383646384 468901136 527513778 703351704 1055027556 1406703408 2110055112 4220110224