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205214130 = 232511207287
BaseRepresentation
bin11000011101101…
…01000110110010
3112022010221212100
430032311012302
5410013323010
632210241230
75041201632
oct1416650662
9468127770
10205214130
11a5924460
1258886216
13336916a4
141d37c6c2
15130392c0
hexc3b51b2

205214130 has 48 divisors (see below), whose sum is σ = 582064704. Its totient is φ = 49748640.

The previous prime is 205214111. The next prime is 205214131. The reversal of 205214130 is 31412502.

205214130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2052141302 = 84225678303313800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (205214131) 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, 102654 + ... + 104633.

It is an arithmetic number, because the mean of its divisors is an integer number (12126348).

Almost surely, 2205214130 is an apocalyptic number.

205214130 is an abundant number, since it is smaller than the sum of its proper divisors (376850574).

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

205214130 is a wasteful number, since it uses less digits than its factorization.

205214130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207311 (or 207308 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205214130 is about 14325.2968555629. The cubic root of 205214130 is about 589.8420816464.

Adding to 205214130 its reverse (31412502), we get a palindrome (236626632).

The spelling of 205214130 in words is "two hundred five million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 207287 414574 621861 1036435 1243722 1865583 2072870 2280157 3109305 3731166 4560314 6218610 6840471 9327915 11400785 13680942 18655830 20521413 22801570 34202355 41042826 68404710 102607065 205214130