Search a number
-
+
223113072 = 24372137297
BaseRepresentation
bin11010100110001…
…10111101110000
3120112211022121010
431103012331300
5424104104242
634050030520
75346300300
oct1523067560
9515738533
10223113072
11104a3a176
1262878440
13372ba690
14218bb600
15148c289c
hexd4c6f70

223113072 has 120 divisors (see below), whose sum is σ = 722151696. Its totient is φ = 58834944.

The previous prime is 223113053. The next prime is 223113073. The reversal of 223113072 is 270311322.

It is a super-3 number, since 3×2231130723 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223113073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26928 + ... + 34224.

Almost surely, 2223113072 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 223113072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361075848).

223113072 is an abundant number, since it is smaller than the sum of its proper divisors (499038624).

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

223113072 is a wasteful number, since it uses less digits than its factorization.

223113072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 223113072 is about 14936.9699738602. The cubic root of 223113072 is about 606.5151758496.

Adding to 223113072 its reverse (270311322), we get a palindrome (493424394).

The spelling of 223113072 in words is "two hundred twenty-three million, one hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7297 7644 10192 14594 15288 21891 29188 30576 43782 51079 58376 87564 94861 102158 116752 153237 175128 189722 204316 284583 306474 350256 357553 379444 408632 569166 612948 664027 715106 758888 817264 1072659 1138332 1225896 1328054 1430212 1517776 1992081 2145318 2276664 2451792 2656108 2860424 3984162 4290636 4553328 4648189 5312216 5720848 7968324 8581272 9296378 10624432 13944567 15936648 17162544 18592756 27889134 31873296 37185512 55778268 74371024 111556536 223113072