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21312200 = 23527131171
BaseRepresentation
bin101000101001…
…1001011001000
31111002202211202
41101103023020
520423442300
62040443332
7346102460
oct121231310
944082752
1021312200
1111037198
127179548
134552790
142b8aba0
151d0ead5
hex14532c8

21312200 has 96 divisors (see below), whose sum is σ = 61037760. Its totient is φ = 6739200.

The previous prime is 21312173. The next prime is 21312223. The reversal of 21312200 is 221312.

It is a happy 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, 17615 + ... + 18785.

It is an arithmetic number, because the mean of its divisors is an integer number (635810).

Almost surely, 221312200 is an apocalyptic number.

21312200 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 21312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30518880).

21312200 is an abundant number, since it is smaller than the sum of its proper divisors (39725560).

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

21312200 is a wasteful number, since it uses less digits than its factorization.

21312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21312200 is about 4616.5138362188. The cubic root of 21312200 is about 277.2528980143.

Adding to 21312200 its reverse (221312), we get a palindrome (21533512).

It can be divided in two parts, 21312 and 200, that added together give a palindrome (21512).

The spelling of 21312200 in words is "twenty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1171 1300 1400 1820 2275 2342 2600 3640 4550 4684 5855 8197 9100 9368 11710 15223 16394 18200 23420 29275 30446 32788 40985 46840 58550 60892 65576 76115 81970 106561 117100 121784 152230 163940 204925 213122 234200 304460 327880 380575 409850 426244 532805 608920 761150 819700 852488 1065610 1522300 1639400 2131220 2664025 3044600 4262440 5328050 10656100 21312200