Search a number
-
+
205310028 = 223711222197
BaseRepresentation
bin11000011110011…
…00100001001100
3112022022211102010
430033030201030
5410024410103
632212301220
75042051340
oct1417144114
9468284363
10205310028
11a598a510
1258911810
13336c6231
141d3a5620
1513057903
hexc3cc84c

205310028 has 48 divisors (see below), whose sum is σ = 597268224. Its totient is φ = 53327040.

The previous prime is 205310023. The next prime is 205310059. The reversal of 205310028 is 820013502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 205309986 and 205310013.

It is not an unprimeable number, because it can be changed into a prime (205310023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110175 + ... + 112022.

It is an arithmetic number, because the mean of its divisors is an integer number (12443088).

Almost surely, 2205310028 is an apocalyptic number.

205310028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205310028 is an abundant number, since it is smaller than the sum of its proper divisors (391958196).

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

205310028 is a wasteful number, since it uses less digits than its factorization.

205310028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222222 (or 222220 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 205310028 is about 14328.6436203850. The cubic root of 205310028 is about 589.9339464499.

The spelling of 205310028 in words is "two hundred five million, three hundred ten thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 222197 444394 666591 888788 1333182 1555379 2444167 2666364 3110758 4666137 4888334 6221516 7332501 9332274 9776668 14665002 17109169 18664548 29330004 34218338 51327507 68436676 102655014 205310028