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205501340 = 2251119211233
BaseRepresentation
bin11000011111110…
…11001110011100
3112022200112211202
430033323032130
5410102020330
632220335032
75043506162
oct1417731634
9468615752
10205501340
11a6000220
12589a4478
1333762335
141d415232
1513094445
hexc3fb39c

205501340 has 96 divisors (see below), whose sum is σ = 500048640. Its totient is φ = 70156800.

The previous prime is 205501333. The next prime is 205501363. The reversal of 205501340 is 43105502.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 881864 + ... + 882096.

It is an arithmetic number, because the mean of its divisors is an integer number (5208840).

Almost surely, 2205501340 is an apocalyptic number.

205501340 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 205501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250024320).

205501340 is an abundant number, since it is smaller than the sum of its proper divisors (294547300).

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

205501340 is a wasteful number, since it uses less digits than its factorization.

205501340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205501340 is about 14335.3179246224. The cubic root of 205501340 is about 590.1171269906.

Adding to 205501340 its reverse (43105502), we get a palindrome (248606842).

The spelling of 205501340 in words is "two hundred five million, five hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 211 220 233 380 418 422 466 836 844 932 1045 1055 1165 2090 2110 2321 2330 2563 4009 4180 4220 4427 4642 4660 5126 8018 8854 9284 10252 11605 12815 16036 17708 20045 22135 23210 25630 40090 44099 44270 46420 48697 49163 51260 80180 88198 88540 97394 98326 176396 194788 196652 220495 243485 245815 440990 486970 491630 540793 881980 934097 973940 983260 1081586 1868194 2163172 2703965 3736388 4670485 5407930 9340970 10275067 10815860 18681940 20550134 41100268 51375335 102750670 205501340