Search a number
-
+
242357828180 = 22513932145493
BaseRepresentation
bin1110000110110110100…
…1101111101001010100
3212011120100000022012112
43201231221233221110
512432322101000210
6303200533210152
723336565356306
oct3415551575124
9764510008175
10242357828180
1193868748476
123ab79190958
1319b14a13130
14ba31891976
156486e51d05
hex386da6fa54

242357828180 has 24 divisors (see below), whose sum is σ = 548101550472. Its totient is φ = 89485967232.

The previous prime is 242357828179. The next prime is 242357828191. The reversal of 242357828180 is 81828753242.

It can be written as a sum of positive squares in 4 ways, for example, as 344993476 + 242012834704 = 18574^2 + 491948^2 .

It is a super-2 number, since 2×2423578281802 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466072487 + ... + 466073006.

It is an arithmetic number, because the mean of its divisors is an integer number (22837564603).

Almost surely, 2242357828180 is an apocalyptic number.

242357828180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242357828180 is an abundant number, since it is smaller than the sum of its proper divisors (305743722292).

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

242357828180 is a wasteful number, since it uses less digits than its factorization.

242357828180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932145515 (or 932145513 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 242357828180 in words is "two hundred forty-two billion, three hundred fifty-seven million, eight hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 932145493 1864290986 3728581972 4660727465 9321454930 12117891409 18642909860 24235782818 48471565636 60589457045 121178914090 242357828180