Search a number
-
+
21032220 = 22351122897
BaseRepresentation
bin101000000111…
…0110100011100
31110120112210010
41100032310130
520341012340
62030443220
7343525266
oct120166434
943515703
1021032220
1110965900
127063510
134485201
142b16b36
151ca6b80
hex140ed1c

21032220 has 72 divisors (see below), whose sum is σ = 64752912. Its totient is φ = 5096960.

The previous prime is 21032201. The next prime is 21032237. The reversal of 21032220 is 2223012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21032196 and 21032205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5812 + ... + 8708.

It is an arithmetic number, because the mean of its divisors is an integer number (899346).

Almost surely, 221032220 is an apocalyptic number.

21032220 is a gapful number since it is divisible by the number (20) 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 21032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376456).

21032220 is an abundant number, since it is smaller than the sum of its proper divisors (43720692).

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

21032220 is a wasteful number, since it uses less digits than its factorization.

21032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 21032220 is about 4586.0898377594. The cubic root of 21032220 is about 276.0334448024.

Adding to 21032220 its reverse (2223012), we get a palindrome (23255232).

The spelling of 21032220 in words is "twenty-one million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 2897 3630 5794 7260 8691 11588 14485 17382 28970 31867 34764 43455 57940 63734 86910 95601 127468 159335 173820 191202 318670 350537 382404 478005 637340 701074 956010 1051611 1402148 1752685 1912020 2103222 3505370 4206444 5258055 7010740 10516110 21032220