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12214224 = 2432112701
BaseRepresentation
bin101110100101…
…111111010000
3211222112202200
4232211333100
511111323344
61113443200
7205550661
oct56457720
924875680
1012214224
116992800
124110500
1326b8669
14189d368
151114069
hexba5fd0

12214224 has 90 divisors (see below), whose sum is σ = 37626498. Its totient is φ = 3696000.

The previous prime is 12214183. The next prime is 12214243. The reversal of 12214224 is 42241221.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 435600 = 3432^2 + 660^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12214197 and 12214206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17074 + ... + 17774.

Almost surely, 212214224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813249).

12214224 is an abundant number, since it is smaller than the sum of its proper divisors (25412274).

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

12214224 is a wasteful number, since it uses less digits than its factorization.

12214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 717 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 12214224 is about 3494.8854058467. The cubic root of 12214224 is about 230.2971835808.

Adding to 12214224 its reverse (42241221), we get a palindrome (54455445).

It can be divided in two parts, 1221 and 4224, that added together give a palindrome (5445).

The spelling of 12214224 in words is "twelve million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 701 726 792 968 1089 1402 1452 1584 1936 2103 2178 2804 2904 4206 4356 5608 5808 6309 7711 8412 8712 11216 12618 15422 16824 17424 23133 25236 30844 33648 46266 50472 61688 69399 84821 92532 100944 123376 138798 169642 185064 254463 277596 339284 370128 508926 555192 678568 763389 1017852 1110384 1357136 1526778 2035704 3053556 4071408 6107112 12214224