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242010162 = 232291572953
BaseRepresentation
bin11100110110011…
…00100000110010
3121212101101112100
432123030200302
5443423311122
640003041230
75666023662
oct1633144062
9555341470
10242010162
111146768a9
1269070216
133b1a5aa4
14241da1a2
15163a6aac
hexe6cc832

242010162 has 48 divisors (see below), whose sum is σ = 546076440. Its totient is φ = 77366016.

The previous prime is 242010161. The next prime is 242010169. The reversal of 242010162 is 261010242.

It can be written as a sum of positive squares in 4 ways, for example, as 218477961 + 23532201 = 14781^2 + 4851^2 .

It is a super-2 number, since 2×2420101622 = 117137837022532488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (242010161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80478 + ... + 83430.

Almost surely, 2242010162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242010162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273038220).

242010162 is an abundant number, since it is smaller than the sum of its proper divisors (304066278).

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

242010162 is a wasteful number, since it uses less digits than its factorization.

242010162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 242010162 is about 15556.6758017258. The cubic root of 242010162 is about 623.1766909497.

The spelling of 242010162 in words is "two hundred forty-two million, ten thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 29 58 87 157 174 261 314 471 522 942 1413 2826 2953 4553 5906 8859 9106 13659 17718 26577 27318 40977 53154 81954 85637 171274 256911 463621 513822 770733 927242 1390863 1541466 2781726 4172589 8345178 13445009 26890018 40335027 80670054 121005081 242010162