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205077348 = 223272116257
BaseRepresentation
bin11000011100100…
…11101101100100
3112021220000020100
430032103231210
5404444433343
632203304100
75040062100
oct1416235544
9467800210
10205077348
11a5840713
125881b030
1333644358
141d344900
151300d9d3
hexc393b64

205077348 has 54 divisors (see below), whose sum is σ = 603030246. Its totient is φ = 58593024.

The previous prime is 205077331. The next prime is 205077349. The reversal of 205077348 is 843770502.

205077348 is digitally balanced in base 2, 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 only one way, i.e., 137311524 + 67765824 = 11718^2 + 8232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205077349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56365 + ... + 59892.

Almost surely, 2205077348 is an apocalyptic number.

205077348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205077348 is an abundant number, since it is smaller than the sum of its proper divisors (397952898).

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

205077348 is a wasteful number, since it uses less digits than its factorization.

205077348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116281 (or 116269 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 205077348 is about 14320.5219178632. The cubic root of 205077348 is about 589.7110027720.

The spelling of 205077348 in words is "two hundred five million, seventy-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 116257 232514 348771 465028 697542 813799 1046313 1395084 1627598 2092626 2441397 3255196 4185252 4882794 5696593 7324191 9765588 11393186 14648382 17089779 22786372 29296764 34179558 51269337 68359116 102538674 205077348