Search a number
-
+
211420224 = 2632367049
BaseRepresentation
bin11001001101000…
…00010001000000
3112201211021000200
430212200101000
5413110421344
632551245200
75145020331
oct1446402100
9481737020
10211420224
11a9383164
125a979800
1334a55432
1420116288
1513863069
hexc9a0440

211420224 has 42 divisors (see below), whose sum is σ = 605999550. Its totient is φ = 70473216.

The previous prime is 211420219. The next prime is 211420229. The reversal of 211420224 is 422024112.

211420224 is a `hidden beast` number, since 21 + 1 + 420 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (211420219) and next prime (211420229).

It can be written as a sum of positive squares in only one way, i.e., 210830400 + 589824 = 14520^2 + 768^2 .

It is a super-2 number, since 2×2114202242 = 89397022232420352, which contains 22 as substring.

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 = 211420197 and 211420206.

It is not an unprimeable number, because it can be changed into a prime (211420229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182949 + ... + 184100.

Almost surely, 2211420224 is an apocalyptic number.

211420224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211420224 is an abundant number, since it is smaller than the sum of its proper divisors (394579326).

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

211420224 is a wasteful number, since it uses less digits than its factorization.

211420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367067 (or 367054 counting only the distinct ones).

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

The square root of 211420224 is about 14540.2965581862. The cubic root of 211420224 is about 595.7291383660.

Adding to 211420224 its reverse (422024112), we get a palindrome (633444336).

The spelling of 211420224 in words is "two hundred eleven million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 367049 734098 1101147 1468196 2202294 2936392 3303441 4404588 5872784 6606882 8809176 11745568 13213764 17618352 23491136 26427528 35236704 52855056 70473408 105710112 211420224