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12214000 = 245331197
BaseRepresentation
bin101110100101…
…111011110000
3211222112110101
4232211323300
511111322000
61113442144
7205550221
oct56457360
924875411
1012214000
116992617
124110354
1326b8526
14189d248
151113e6a
hexba5ef0

12214000 has 80 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 4704000.

The previous prime is 12213991. The next prime is 12214019. The reversal of 12214000 is 41221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61902 + ... + 62098.

Almost surely, 212214000 is an apocalyptic number.

12214000 is a gapful number since it is divisible by the number (10) 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 12214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

12214000 is an abundant number, since it is smaller than the sum of its proper divisors (18426896).

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

12214000 is a wasteful number, since it uses less digits than its factorization.

12214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12214000 is about 3494.8533588693. The cubic root of 12214000 is about 230.2957757445.

Adding to 12214000 its reverse (41221), we get a palindrome (12255221).

The spelling of 12214000 in words is "twelve million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 197 200 248 250 310 394 400 496 500 620 775 788 985 1000 1240 1550 1576 1970 2000 2480 3100 3152 3875 3940 4925 6107 6200 7750 7880 9850 12214 12400 15500 15760 19700 24428 24625 30535 31000 39400 48856 49250 61070 62000 78800 97712 98500 122140 152675 197000 244280 305350 394000 488560 610700 763375 1221400 1526750 2442800 3053500 6107000 12214000