Search a number
-
+
224657748050 = 25217239432
BaseRepresentation
bin1101000100111010100…
…1010011000001010010
3210110212210012001220012
43101032221103001102
512140044340414200
6251112323114522
722142141231201
oct3211651230122
9713783161805
10224657748050
118730549527a
1237659512a42
1318253983038
14ac32c17238
155c9d08da35
hex344ea53052

224657748050 has 54 divisors (see below), whose sum is σ = 444002111343. Its totient is φ = 84555584640.

The previous prime is 224657748047. The next prime is 224657748167. The reversal of 224657748050 is 50847756422.

224657748050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 146284065841 + 78373682209 = 382471^2 + 279953^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335155.

It is a super-2 number, since 2×2246577480502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224657748050.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56974379 + ... + 56978321.

Almost surely, 2224657748050 is an apocalyptic number.

224657748050 is a deficient number, since it is larger than the sum of its proper divisors (219344363293).

224657748050 is an frugal number, since it uses more digits than its factorization.

224657748050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 50.

Multiplying 224657748050 by its sum of digits (50), we get a square (11232887402500 = 33515502).

224657748050 divided by its sum of digits (50) gives a square (4493154961 = 670312).

The spelling of 224657748050 in words is "two hundred twenty-four billion, six hundred fifty-seven million, seven hundred forty-eight thousand, fifty".

Divisors: 1 2 5 10 17 25 34 50 85 170 289 425 578 850 1445 2890 3943 7225 7886 14450 19715 39430 67031 98575 134062 197150 335155 670310 1139527 1675775 2279054 3351550 5697635 11395270 15547249 28488175 31094498 56976350 77736245 155472490 264303233 388681225 528606466 777362450 1321516165 2643032330 4493154961 6607580825 8986309922 13215161650 22465774805 44931549610 112328874025 224657748050