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205501140 = 2232513531657
BaseRepresentation
bin11000011111110…
…11001011010100
3112022200112120100
430033323023110
5410102014030
632220334100
75043505455
oct1417731324
9468615510
10205501140
11a6000059
12589a4330
1333762210
141d41512c
1513094360
hexc3fb2d4

205501140 has 144 divisors (see below), whose sum is σ = 684382608. Its totient is φ = 49600512.

The previous prime is 205501133. The next prime is 205501181. The reversal of 205501140 is 41105502.

205501140 is a `hidden beast` number, since 2 + 0 + 550 + 114 + 0 = 666.

205501140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12068676 + 193432464 = 3474^2 + 13908^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123192 + ... + 124848.

It is an arithmetic number, because the mean of its divisors is an integer number (4752657).

Almost surely, 2205501140 is an apocalyptic number.

205501140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205501140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342191304).

205501140 is an abundant number, since it is smaller than the sum of its proper divisors (478881468).

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

205501140 is a wasteful number, since it uses less digits than its factorization.

205501140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 205501140 is about 14335.3109488424. The cubic root of 205501140 is about 590.1169355507.

Adding to 205501140 its reverse (41105502), we get a palindrome (246606642).

The spelling of 205501140 in words is "two hundred five million, five hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1378 1590 1657 1908 2067 2340 2385 2756 3180 3314 3445 4134 4770 4971 6201 6628 6890 8268 8285 9540 9942 10335 12402 13780 14913 16570 19884 20670 21541 24804 24855 29826 31005 33140 41340 43082 49710 59652 62010 64623 74565 86164 87821 99420 107705 124020 129246 149130 175642 193869 215410 258492 263463 298260 323115 351284 387738 430820 439105 526926 646230 775476 790389 878210 969345 1053852 1141673 1292460 1317315 1580778 1756420 1938690 2283346 2634630 3161556 3425019 3877380 3951945 4566692 5269260 5708365 6850038 7903890 10275057 11416730 13700076 15807780 17125095 20550114 22833460 34250190 41100228 51375285 68500380 102750570 205501140