Search a number
-
+
300223224 = 233273731597
BaseRepresentation
bin10001111001010…
…000101011111000
3202220220220211200
4101321100223320
51103324120344
645442454200
710303566240
oct2171205370
9686826750
10300223224
11144517174
1284664360
134a2785a2
142bc30b20
151b555069
hex11e50af8

300223224 has 96 divisors (see below), whose sum is σ = 932337120. Its totient is φ = 85494528.

The previous prime is 300223223. The next prime is 300223277. The reversal of 300223224 is 422322003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300223197 and 300223206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300223223) 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, 187194 + ... + 188790.

It is an arithmetic number, because the mean of its divisors is an integer number (9711845).

Almost surely, 2300223224 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 300223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466168560).

300223224 is an abundant number, since it is smaller than the sum of its proper divisors (632113896).

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

300223224 is a wasteful number, since it uses less digits than its factorization.

300223224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 300223224 is about 17326.9507992607. The cubic root of 300223224 is about 669.5989461407.

Adding to 300223224 its reverse (422322003), we get a palindrome (722545227).

The spelling of 300223224 in words is "three hundred million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 373 504 746 1119 1492 1597 2238 2611 2984 3194 3357 4476 4791 5222 6388 6714 7833 8952 9582 10444 11179 12776 13428 14373 15666 19164 20888 22358 23499 26856 28746 31332 33537 38328 44716 46998 57492 62664 67074 89432 93996 100611 114984 134148 187992 201222 268296 402444 595681 804888 1191362 1787043 2382724 3574086 4169767 4765448 5361129 7148172 8339534 10722258 12509301 14296344 16679068 21444516 25018602 33358136 37527903 42889032 50037204 75055806 100074408 150111612 300223224