Search a number
-
+
21898440 = 23325591031
BaseRepresentation
bin101001110001…
…0010011001000
31112012120000100
41103202103020
521101222230
62101205400
7354063564
oct123422310
945176010
1021898440
11113a7693
127400860
1346c9575
142ca06a4
151dc8660
hex14e24c8

21898440 has 96 divisors (see below), whose sum is σ = 72446400. Its totient is φ = 5735040.

The previous prime is 21898433. The next prime is 21898441. The reversal of 21898440 is 4489812.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21898395 and 21898404.

It is not an unprimeable number, because it can be changed into a prime (21898441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20725 + ... + 21755.

It is an arithmetic number, because the mean of its divisors is an integer number (754650).

Almost surely, 221898440 is an apocalyptic number.

21898440 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 21898440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36223200).

21898440 is an abundant number, since it is smaller than the sum of its proper divisors (50547960).

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

21898440 is a wasteful number, since it uses less digits than its factorization.

21898440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 21898440 is about 4679.5769039519. The cubic root of 21898440 is about 279.7720934569.

It can be divided in two parts, 218984 and 40, that added together give a square (219024 = 4682).

The spelling of 21898440 in words is "twenty-one million, eight hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 1031 1062 1180 1416 1770 2062 2124 2360 2655 3093 3540 4124 4248 5155 5310 6186 7080 8248 9279 10310 10620 12372 15465 18558 20620 21240 24744 30930 37116 41240 46395 60829 61860 74232 92790 121658 123720 182487 185580 243316 304145 364974 371160 486632 547461 608290 729948 912435 1094922 1216580 1459896 1824870 2189844 2433160 2737305 3649740 4379688 5474610 7299480 10949220 21898440