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1813212 = 2233103163
BaseRepresentation
bin110111010101011011100
310102010021000
412322223130
5431010322
6102510300
721261222
oct6725334
93363230
101813212
111029325
12735390
134b640b
14352b12
1525c3ac
hex1baadc

1813212 has 48 divisors (see below), whose sum is σ = 4775680. Its totient is φ = 594864.

The previous prime is 1813211. The next prime is 1813219. The reversal of 1813212 is 2123181.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11043 + ... + 11205.

21813212 is an apocalyptic number.

1813212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387840).

1813212 is an abundant number, since it is smaller than the sum of its proper divisors (2962468).

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

1813212 is a wasteful number, since it uses less digits than its factorization.

1813212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1813212 is about 1346.5556059814. Note that the first 3 decimals coincide. The cubic root of 1813212 is about 121.9409371012.

Adding to 1813212 its reverse (2123181), we get a palindrome (3936393).

It can be divided in two parts, 1813 and 212, that added together give a square (2025 = 452).

The spelling of 1813212 in words is "one million, eight hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 163 206 309 326 412 489 618 652 927 978 1236 1467 1854 1956 2781 2934 3708 4401 5562 5868 8802 11124 16789 17604 33578 50367 67156 100734 151101 201468 302202 453303 604404 906606 1813212