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20214900 = 2233527487
BaseRepresentation
bin100110100011…
…1010001110100
31102001000122000
41031013101310
520133334100
62001135300
7333552366
oct115072164
942030560
1020214900
1110457832
12692a530
13425a1a4
142982d36
151b94900
hex1347474

20214900 has 72 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 5389920.

The previous prime is 20214893. The next prime is 20214911. The reversal of 20214900 is 941202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044 + ... + 6443.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 220214900 is an apocalyptic number.

20214900 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 20214900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

20214900 is an abundant number, since it is smaller than the sum of its proper divisors (44780940).

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

20214900 is a wasteful number, since it uses less digits than its factorization.

20214900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7510 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20214900 is about 4496.0983085337. The cubic root of 20214900 is about 272.4105140618.

The spelling of 20214900 in words is "twenty million, two hundred fourteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 7487 14974 22461 29948 37435 44922 67383 74870 89844 112305 134766 149740 187175 202149 224610 269532 336915 374350 404298 449220 561525 673830 748700 808596 1010745 1123050 1347660 1684575 2021490 2246100 3369150 4042980 5053725 6738300 10107450 20214900