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224055342 = 23372172293
BaseRepresentation
bin11010101101011…
…01000000101110
3120121121012011000
431112231000232
5424324232332
634122141130
75360303400
oct1526550056
9517535130
10224055342
11105523105
12630517a6
133755a534
1421a84b70
1514a0bb7c
hexd5ad02e

224055342 has 144 divisors (see below), whose sum is σ = 617364720. Its totient is φ = 60044544.

The previous prime is 224055331. The next prime is 224055347. The reversal of 224055342 is 243550422.

It is a happy number.

224055342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224055347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764548 + ... + 764840.

It is an arithmetic number, because the mean of its divisors is an integer number (4287255).

Almost surely, 2224055342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224055342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308682360).

224055342 is an abundant number, since it is smaller than the sum of its proper divisors (393309378).

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

224055342 is a wasteful number, since it uses less digits than its factorization.

224055342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 224055342 is about 14968.4782793710. The cubic root of 224055342 is about 607.3678054076.

The spelling of 224055342 in words is "two hundred twenty-four million, fifty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 289 293 294 306 357 378 441 459 578 586 714 833 867 879 882 918 1071 1323 1666 1734 1758 2023 2051 2142 2499 2601 2637 2646 3213 4046 4102 4981 4998 5202 5274 6069 6153 6426 7497 7803 7911 9962 12138 12306 14161 14357 14943 14994 15606 15822 18207 18459 22491 28322 28714 29886 34867 36414 36918 42483 43071 44829 44982 54621 55377 69734 84677 84966 86142 89658 104601 109242 110754 127449 129213 134487 169354 209202 244069 254031 254898 258426 268974 313803 382347 387639 488138 508062 592739 627606 732207 762093 764694 775278 941409 1185478 1464414 1524186 1778217 1882818 2196621 2286279 3556434 4149173 4393242 4572558 5334651 6589863 8298346 10669302 12447519 13179726 16003953 24895038 32007906 37342557 74685114 112027671 224055342