Search a number
-
+
214224140 = 225131722851
BaseRepresentation
bin11001100010011…
…00110100001100
3112221002201021102
430301030310030
5414320133030
633131322232
75210606114
oct1461146414
9487081242
10214224140
11aaa18849
125b8b0378
13354c7760
1420646044
1513c18c45
hexcc4cd0c

214224140 has 72 divisors (see below), whose sum is σ = 514831632. Its totient is φ = 74419200.

The previous prime is 214224133. The next prime is 214224163. The reversal of 214224140 is 41422412.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 73715 + ... + 76565.

Almost surely, 2214224140 is an apocalyptic number.

214224140 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 214224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257415816).

214224140 is an abundant number, since it is smaller than the sum of its proper divisors (300607492).

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

214224140 is a wasteful number, since it uses less digits than its factorization.

214224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 214224140 is about 14636.3977808749. The cubic root of 214224140 is about 598.3511582037.

Adding to 214224140 its reverse (41422412), we get a palindrome (255646552).

The spelling of 214224140 in words is "two hundred fourteen million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2851 2890 3757 4420 5702 5780 7514 11404 14255 15028 18785 28510 37063 37570 48467 57020 74126 75140 96934 148252 185315 193868 242335 370630 484670 630071 741260 823939 969340 1260142 1647878 2520284 3150355 3295756 4119695 6300710 8239390 10711207 12601420 16478780 21422414 42844828 53556035 107112070 214224140