Search a number
-
+
300331220 = 22573721567
BaseRepresentation
bin10001111001101…
…011000011010100
3202221010101222112
4101321223003110
51103341044340
645445050152
710304526140
oct2171530324
9687111875
10300331220
11144590322
12846b6958
134a2b57a7
142bc5c220
151b577065
hex11e6b0d4

300331220 has 72 divisors (see below), whose sum is σ = 741275136. Its totient is φ = 100123776.

The previous prime is 300331169. The next prime is 300331223. The reversal of 300331220 is 22133003.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 300331195 and 300331204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300331223) 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, 190877 + ... + 192443.

It is an arithmetic number, because the mean of its divisors is an integer number (10295488).

Almost surely, 2300331220 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 300331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370637568).

300331220 is an abundant number, since it is smaller than the sum of its proper divisors (440943916).

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

300331220 is a wasteful number, since it uses less digits than its factorization.

300331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 300331220 is about 17330.0669358200. The cubic root of 300331220 is about 669.6792256714.

Adding to 300331220 its reverse (22133003), we get a palindrome (322464223).

The spelling of 300331220 in words is "three hundred million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 1369 1567 2590 2738 3134 5180 5476 6268 6845 7835 9583 10969 13690 15670 19166 21938 27380 31340 38332 43876 47915 54845 57979 95830 109690 115958 191660 219380 231916 289895 405853 579790 811706 1159580 1623412 2029265 2145223 4058530 4290446 8117060 8580892 10726115 15016561 21452230 30033122 42904460 60066244 75082805 150165610 300331220