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224022414 = 237211531307
BaseRepresentation
bin11010101101001…
…00111110001110
3120121112111222110
431112210332032
5424322204124
634121324450
75360105400
oct1526447616
9517474873
10224022414
111055003a0
1263036726
1337548555
1421a76b70
1514a02029
hexd5a4f8e

224022414 has 96 divisors (see below), whose sum is σ = 579747456. Its totient is φ = 57046080.

The previous prime is 224022391. The next prime is 224022427. The reversal of 224022414 is 414220422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170749 + ... + 172055.

It is an arithmetic number, because the mean of its divisors is an integer number (6039036).

Almost surely, 2224022414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224022414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289873728).

224022414 is an abundant number, since it is smaller than the sum of its proper divisors (355725042).

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

224022414 is a wasteful number, since it uses less digits than its factorization.

224022414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 224022414 is about 14967.3783275496. The cubic root of 224022414 is about 607.3380502785.

Adding to 224022414 its reverse (414220422), we get a palindrome (638242836).

The spelling of 224022414 in words is "two hundred twenty-four million, twenty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 53 66 77 98 106 147 154 159 231 294 318 371 462 539 583 742 1078 1113 1166 1307 1617 1749 2226 2597 2614 3234 3498 3921 4081 5194 7791 7842 8162 9149 12243 14377 15582 18298 24486 27447 28567 28754 43131 54894 57134 64043 69271 85701 86262 100639 128086 138542 171402 192129 201278 207813 301917 384258 415626 484897 603834 704473 761981 969794 1408946 1454691 1523962 2113419 2285943 2909382 3394279 4226838 4571886 5333867 6788558 10182837 10667734 16001601 20365674 32003202 37337069 74674138 112011207 224022414