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230545220 = 22522375153
BaseRepresentation
bin11011011110111…
…01011101000100
3121001210220120212
431233131131010
5433004421340
634513214552
75466413333
oct1557353504
9531726525
10230545220
11109156044
1265261458
13389c04b9
1422893d1a
151538ea65
hexdbdd744

230545220 has 24 divisors (see below), whose sum is σ = 484455384. Its totient is φ = 92158976.

The previous prime is 230545201. The next prime is 230545223. The reversal of 230545220 is 22545032.

It can be written as a sum of positive squares in 4 ways, for example, as 62220544 + 168324676 = 7888^2 + 12974^2 .

It is not an unprimeable number, because it can be changed into a prime (230545223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42164 + ... + 47316.

It is an arithmetic number, because the mean of its divisors is an integer number (20185641).

Almost surely, 2230545220 is an apocalyptic number.

230545220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230545220 is an abundant number, since it is smaller than the sum of its proper divisors (253910164).

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

230545220 is a wasteful number, since it uses less digits than its factorization.

230545220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 230545220 is about 15183.7156190440. The cubic root of 230545220 is about 613.1763191596.

The spelling of 230545220 in words is "two hundred thirty million, five hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2237 4474 5153 8948 10306 11185 20612 22370 25765 44740 51530 103060 11527261 23054522 46109044 57636305 115272610 230545220