Search a number
-
+
21227100 = 22352173409
BaseRepresentation
bin101000011111…
…0011001011100
31110221110002220
41100332121130
520413231400
62034545340
7345266406
oct120763134
943843086
1021227100
1110a89264
127138250
134522b1b
142b67b76
151ce47a0
hex143e65c

21227100 has 72 divisors (see below), whose sum is σ = 61923120. Its totient is φ = 5614080.

The previous prime is 21227099. The next prime is 21227111. The reversal of 21227100 is 172212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21227100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51696 + ... + 52104.

Almost surely, 221227100 is an apocalyptic number.

21227100 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 21227100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30961560).

21227100 is an abundant number, since it is smaller than the sum of its proper divisors (40696020).

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

21227100 is a wasteful number, since it uses less digits than its factorization.

21227100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 21227100 is about 4607.2877053642. The cubic root of 21227100 is about 276.8833804684.

Adding to 21227100 its reverse (172212), we get a palindrome (21399312).

The spelling of 21227100 in words is "twenty-one million, two hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 409 519 692 818 865 1038 1227 1636 1730 2045 2076 2454 2595 3460 4090 4325 4908 5190 6135 8180 8650 10225 10380 12270 12975 17300 20450 24540 25950 30675 40900 51900 61350 70757 122700 141514 212271 283028 353785 424542 707570 849084 1061355 1415140 1768925 2122710 3537850 4245420 5306775 7075700 10613550 21227100