Search a number
-
+
300131220 = 223519263273
BaseRepresentation
bin10001111000111…
…010001110010100
3202220202020122010
4101320322032110
51103313144340
645440504220
710303034064
oct2170721624
9686666563
10300131220
11144464034
128461b070
134a24574c
142bc093a4
151b537b80
hex11e3a394

300131220 has 48 divisors (see below), whose sum is σ = 884600640. Its totient is φ = 75822336.

The previous prime is 300131219. The next prime is 300131267. The reversal of 300131220 is 22131003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 300131196 and 300131205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130497 + ... + 132776.

It is an arithmetic number, because the mean of its divisors is an integer number (18429180).

Almost surely, 2300131220 is an apocalyptic number.

300131220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300131220 is an abundant number, since it is smaller than the sum of its proper divisors (584469420).

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

300131220 is a wasteful number, since it uses less digits than its factorization.

300131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263304 (or 263302 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 300131220 is about 17324.2956566782. The cubic root of 300131220 is about 669.5305391792.

Adding to 300131220 its reverse (22131003), we get a palindrome (322262223).

The spelling of 300131220 in words is "three hundred million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 263273 526546 789819 1053092 1316365 1579638 2632730 3159276 3949095 5002187 5265460 7898190 10004374 15006561 15796380 20008748 25010935 30013122 50021870 60026244 75032805 100043740 150065610 300131220