Search a number
-
+
21822420 = 2235401907
BaseRepresentation
bin101001100111…
…1101111010100
31112001200201210
41103033233110
521041304140
62055421420
7353326134
oct123175724
945050653
1021822420
1111355564
127384870
1346a0a99
142c80ac4
151db0d80
hex14cfbd4

21822420 has 48 divisors (see below), whose sum is σ = 61322688. Its totient is φ = 5798400.

The previous prime is 21822403. The next prime is 21822421. The reversal of 21822420 is 2422812.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21822421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23607 + ... + 24513.

It is an arithmetic number, because the mean of its divisors is an integer number (1277556).

Almost surely, 221822420 is an apocalyptic number.

21822420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21822420 is an abundant number, since it is smaller than the sum of its proper divisors (39500268).

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

21822420 is a wasteful number, since it uses less digits than its factorization.

21822420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 21822420 is about 4671.4473131996. The cubic root of 21822420 is about 279.4479770219.

The spelling of 21822420 in words is "twenty-one million, eight hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 401 802 907 1203 1604 1814 2005 2406 2721 3628 4010 4535 4812 5442 6015 8020 9070 10884 12030 13605 18140 24060 27210 54420 363707 727414 1091121 1454828 1818535 2182242 3637070 4364484 5455605 7274140 10911210 21822420