Search a number
-
+
242243022032 = 24111765777951
BaseRepresentation
bin1110000110011011001…
…1110010110011010000
3212011021022222112202222
43201212303302303100
512432103203201112
6303141312400212
723334002466434
oct3414663626320
9764238875688
10242243022032
1193809963960
123ab46846068
1319ac6cb72bb
14ba205289c4
15647bd25372
hex3866cf2cd0

242243022032 has 40 divisors (see below), whose sum is σ = 512049226752. Its totient is φ = 110102816000.

The previous prime is 242243022013. The next prime is 242243022187. The reversal of 242243022032 is 230220342242.

242243022032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242243021992 and 242243022010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3068657 + ... + 3146607.

Almost surely, 2242243022032 is an apocalyptic number.

242243022032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242243022032 is an abundant number, since it is smaller than the sum of its proper divisors (269806204720).

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

242243022032 is a wasteful number, since it uses less digits than its factorization.

242243022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95627 (or 95621 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 242243022032 its reverse (230220342242), we get a palindrome (472463364274).

The spelling of 242243022032 in words is "two hundred forty-two billion, two hundred forty-three million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 17657 35314 70628 77951 141256 155902 194227 282512 311804 388454 623608 776908 857461 1247216 1553816 1714922 3107632 3429844 6859688 13719376 1376380807 2752761614 5505523228 11011046456 15140188877 22022092912 30280377754 60560755508 121121511016 242243022032