Search a number
-
+
223073172 = 223271078273
BaseRepresentation
bin11010100101111…
…01001110010100
3120112202021212100
431102331032110
5424101320142
634045122100
75346043050
oct1522751624
9515667770
10223073172
11104a121a3
1262859330
13372a547a
14218aac60
15148b5b4c
hexd4bd394

223073172 has 72 divisors (see below), whose sum is σ = 650534976. Its totient is φ = 63131904.

The previous prime is 223073171. The next prime is 223073183. The reversal of 223073172 is 271370322.

It is a happy number.

It is a super-3 number, since 3×2230731723 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223073171) 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, 22828 + ... + 31100.

It is an arithmetic number, because the mean of its divisors is an integer number (9035208).

Almost surely, 2223073172 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 223073172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325267488).

223073172 is an abundant number, since it is smaller than the sum of its proper divisors (427461804).

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

223073172 is a wasteful number, since it uses less digits than its factorization.

223073172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 223073172 is about 14935.6343018969. The cubic root of 223073172 is about 606.4790186999.

The spelling of 223073172 in words is "two hundred twenty-three million, seventy-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1498 1926 2247 2996 3852 4494 6741 8273 8988 13482 16546 24819 26964 33092 49638 57911 74457 99276 115822 148914 173733 231644 297828 347466 521199 694932 885211 1042398 1770422 2084796 2655633 3540844 5311266 6196477 7966899 10622532 12392954 15933798 18589431 24785908 31867596 37178862 55768293 74357724 111536586 223073172