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21213900 = 22375297
BaseRepresentation
bin101000011101…
…1001011001100
31110220210000000
41100323023030
520412321100
62034404300
7345213051
oct120731314
943823000
1021213900
1110a7a354
127130690
134519b06
142b63028
151ce0900
hex143b2cc

21213900 has 144 divisors (see below), whose sum is σ = 69752480. Its totient is φ = 5598720.

The previous prime is 21213893. The next prime is 21213901. The reversal of 21213900 is 931212.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218652 + ... + 218748.

Almost surely, 221213900 is an apocalyptic number.

21213900 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 21213900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34876240).

21213900 is an abundant number, since it is smaller than the sum of its proper divisors (48538580).

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

21213900 is an equidigital number, since it uses as much as digits as its factorization.

21213900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 21213900 is about 4605.8549694926. The cubic root of 21213900 is about 276.8259755714.

The spelling of 21213900 in words is "twenty-one million, two hundred thirteen 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 81 90 97 100 108 135 150 162 180 194 225 243 270 291 300 324 388 405 450 485 486 540 582 675 729 810 873 900 970 972 1164 1215 1350 1455 1458 1620 1746 1940 2025 2187 2425 2430 2619 2700 2910 2916 3492 3645 4050 4365 4374 4850 4860 5238 5820 6075 7275 7290 7857 8100 8730 8748 9700 10476 10935 12150 13095 14550 14580 15714 17460 18225 21825 21870 23571 24300 26190 29100 31428 36450 39285 43650 43740 47142 52380 54675 65475 70713 72900 78570 87300 94284 109350 117855 130950 141426 157140 196425 212139 218700 235710 261900 282852 353565 392850 424278 471420 589275 707130 785700 848556 1060695 1178550 1414260 1767825 2121390 2357100 3535650 4242780 5303475 7071300 10606950 21213900