Search a number
-
+
223211541 = 3710629121
BaseRepresentation
bin11010100110111…
…11000000010101
3120120000022200010
431103133000111
5424120232131
634052110433
75350160340
oct1523370025
9516008603
10223211541
11104aa7153
1262905419
1337323447
1421905457
15148e1b46
hexd4df015

223211541 has 8 divisors (see below), whose sum is σ = 340131904. Its totient is φ = 127549440.

The previous prime is 223211533. The next prime is 223211543. The reversal of 223211541 is 145112322.

223211541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 223211541 - 23 = 223211533 is a prime.

It is a super-3 number, since 3×2232115413 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10629121 = 223211541 / (2 + 2 + 3 + 2 + 1 + 1 + 5 + 4 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211543) 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, 5314540 + ... + 5314581.

It is an arithmetic number, because the mean of its divisors is an integer number (42516488).

Almost surely, 2223211541 is an apocalyptic number.

223211541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223211541 is a deficient number, since it is larger than the sum of its proper divisors (116920363).

223211541 is a wasteful number, since it uses less digits than its factorization.

223211541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10629131.

The product of its digits is 480, while the sum is 21.

The square root of 223211541 is about 14940.2657606885. The cubic root of 223211541 is about 606.6043894464.

Adding to 223211541 its reverse (145112322), we get a palindrome (368323863).

The spelling of 223211541 in words is "two hundred twenty-three million, two hundred eleven thousand, five hundred forty-one".

Divisors: 1 3 7 21 10629121 31887363 74403847 223211541