Search a number
-
+
242159528220 = 223523175477919
BaseRepresentation
bin1110000110000111010…
…1010010100100011100
3212011001111212121210120
43201201311102210130
512431420314400340
6303125131034540
723331640012311
oct3414165224434
9764044777716
10242159528220
1193776816805
123ab2289ba50
1319ab290288c
14ba133d2d08
1564748314d0
hex3861d5291c

242159528220 has 48 divisors (see below), whose sum is σ = 707526973440. Its totient is φ = 61768227136.

The previous prime is 242159528209. The next prime is 242159528231. The reversal of 242159528220 is 22825951242.

It is an interprime number because it is at equal distance from previous prime (242159528209) and next prime (242159528231).

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 15 ways as a sum of consecutive naturals, for example, 87737580 + ... + 87740339.

It is an arithmetic number, because the mean of its divisors is an integer number (14740145280).

Almost surely, 2242159528220 is an apocalyptic number.

242159528220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242159528220 is an abundant number, since it is smaller than the sum of its proper divisors (465367445220).

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

242159528220 is a wasteful number, since it uses less digits than its factorization.

242159528220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175477954 (or 175477952 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 242159528220 in words is "two hundred forty-two billion, one hundred fifty-nine million, five hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 175477919 350955838 526433757 701911676 877389595 1052867514 1754779190 2105735028 2632168785 3509558380 4035992137 5264337570 8071984274 10528675140 12107976411 16143968548 20179960685 24215952822 40359921370 48431905644 60539882055 80719842740 121079764110 242159528220