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21210200 = 23521131311
BaseRepresentation
bin101000011101…
…0010001011000
31110220120220222
41100322101120
520412211300
62034335212
7345166214
oct120722130
943816828
1021210200
1110a775a0
12712a508
13451821b
142b61944
151cde785
hex143a458

21210200 has 96 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 7440000.

The previous prime is 21210197. The next prime is 21210221. The reversal of 21210200 is 201212.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 68045 + ... + 68355.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 221210200 is an apocalyptic number.

21210200 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 21210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

21210200 is an abundant number, since it is smaller than the sum of its proper divisors (34500520).

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

21210200 is a wasteful number, since it uses less digits than its factorization.

21210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 21210200 is about 4605.4532893082. The cubic root of 21210200 is about 276.8098805321.

Adding to 21210200 its reverse (201212), we get a palindrome (21411412).

The spelling of 21210200 in words is "twenty-one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 311 341 440 550 620 622 682 775 1100 1240 1244 1364 1550 1555 1705 2200 2488 2728 3100 3110 3410 3421 6200 6220 6820 6842 7775 8525 9641 12440 13640 13684 15550 17050 17105 19282 27368 31100 34100 34210 38564 48205 62200 68200 68420 77128 85525 96410 106051 136840 171050 192820 212102 241025 342100 385640 424204 482050 530255 684200 848408 964100 1060510 1928200 2121020 2651275 4242040 5302550 10605100 21210200