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205222542 = 23731163967
BaseRepresentation
bin11000011101101…
…11001010001110
3112022011101101220
430032313022032
5410014110132
632210344210
75041235310
oct1416671216
9468141356
10205222542
11a592a808
125888b066
1333695475
141d3817b0
151303ba2c
hexc3b728e

205222542 has 64 divisors (see below), whose sum is σ = 487686144. Its totient is φ = 56337120.

The previous prime is 205222513. The next prime is 205222547. The reversal of 205222542 is 245222502.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205222547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211743 + ... + 212709.

It is an arithmetic number, because the mean of its divisors is an integer number (7620096).

Almost surely, 2205222542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205222542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243843072).

205222542 is an abundant number, since it is smaller than the sum of its proper divisors (282463602).

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

205222542 is a wasteful number, since it uses less digits than its factorization.

205222542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 205222542 is about 14325.5904590352. The cubic root of 205222542 is about 589.8501410066.

The spelling of 205222542 in words is "two hundred five million, two hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 163 186 217 326 434 489 651 967 978 1141 1302 1934 2282 2901 3423 5053 5802 6769 6846 10106 13538 15159 20307 29977 30318 35371 40614 59954 70742 89931 106113 157621 179862 209839 212226 315242 419678 472863 629517 945726 1103347 1259034 2206694 3310041 4886251 6620082 9772502 14658753 29317506 34203757 68407514 102611271 205222542