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21412200 = 23352127281
BaseRepresentation
bin101000110101…
…1100101101000
31111021212000110
41101223211220
520440142300
62042534320
7350000145
oct121534550
944255013
1021412200
11110a5337
1272073a0
134589154
142bb53cc
151d2e550
hex146b968

21412200 has 96 divisors (see below), whose sum is σ = 67138560. Its totient is φ = 5644800.

The previous prime is 21412189. The next prime is 21412217. The reversal of 21412200 is 221412.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 76060 + ... + 76340.

It is an arithmetic number, because the mean of its divisors is an integer number (699360).

Almost surely, 221412200 is an apocalyptic number.

21412200 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 21412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33569280).

21412200 is an abundant number, since it is smaller than the sum of its proper divisors (45726360).

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

21412200 is a wasteful number, since it uses less digits than its factorization.

21412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21412200 is about 4627.3318445947. The cubic root of 21412200 is about 277.6858587718.

Adding to 21412200 its reverse (221412), we get a palindrome (21633612).

It can be divided in two parts, 21412 and 200, that added together give a palindrome (21612).

The spelling of 21412200 in words is "twenty-one million, four hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 281 300 381 508 562 600 635 762 843 1016 1124 1270 1405 1524 1686 1905 2248 2540 2810 3048 3175 3372 3810 4215 5080 5620 6350 6744 7025 7620 8430 9525 11240 12700 14050 15240 16860 19050 21075 25400 28100 33720 35687 38100 42150 56200 71374 76200 84300 107061 142748 168600 178435 214122 285496 356870 428244 535305 713740 856488 892175 1070610 1427480 1784350 2141220 2676525 3568700 4282440 5353050 7137400 10706100 21412200