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223012500 = 2235519313
BaseRepresentation
bin11010100101011…
…10011010010100
3120112122012122020
431102232122110
5424042400000
634043533140
75345401134
oct1522563224
9515565566
10223012500
11104980657
126282a1b0
1337283979
1421892ac4
15148a2ba0
hexd4ae694

223012500 has 144 divisors (see below), whose sum is σ = 686831040. Its totient is φ = 56160000.

The previous prime is 223012459. The next prime is 223012501. The reversal of 223012500 is 5210322.

223012500 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223012500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223012501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712344 + ... + 712656.

It is an arithmetic number, because the mean of its divisors is an integer number (4769660).

Almost surely, 2223012500 is an apocalyptic number.

223012500 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 223012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343415520).

223012500 is an abundant number, since it is smaller than the sum of its proper divisors (463818540).

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

223012500 is a wasteful number, since it uses less digits than its factorization.

223012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 223012500 is about 14933.6030481595. The cubic root of 223012500 is about 606.4240298201.

Adding to 223012500 its reverse (5210322), we get a palindrome (228222822).

The spelling of 223012500 in words is "two hundred twenty-three million, twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 313 375 380 475 500 570 625 626 750 939 950 1140 1250 1252 1425 1500 1565 1875 1878 1900 2375 2500 2850 3125 3130 3750 3756 4695 4750 5700 5947 6250 6260 7125 7500 7825 9375 9390 9500 11875 11894 12500 14250 15650 17841 18750 18780 23475 23750 23788 28500 29735 31300 35625 35682 37500 39125 46950 47500 59375 59470 71250 71364 78250 89205 93900 117375 118750 118940 142500 148675 156500 178125 178410 195625 234750 237500 297350 356250 356820 391250 446025 469500 586875 594700 712500 743375 782500 892050 978125 1173750 1486750 1784100 1956250 2230125 2347500 2934375 2973500 3716875 3912500 4460250 5868750 7433750 8920500 11150625 11737500 14867500 18584375 22301250 37168750 44602500 55753125 74337500 111506250 223012500