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242020152 = 233211305581
BaseRepresentation
bin11100110110011…
…10111100111000
3121212101220020100
432123032330320
5443424121102
640003155400
75666065053
oct1633167470
9555356210
10242020152
11114683360
1269075b60
133b1aa4ba
14241dda9a
15163a9a1c
hexe6cef38

242020152 has 48 divisors (see below), whose sum is σ = 715061880. Its totient is φ = 73339200.

The previous prime is 242020133. The next prime is 242020159. The reversal of 242020152 is 251020242.

242020152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242020159) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 151999 + ... + 153582.

Almost surely, 2242020152 is an apocalyptic number.

242020152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242020152 is an abundant number, since it is smaller than the sum of its proper divisors (473041728).

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

242020152 is a wasteful number, since it uses less digits than its factorization.

242020152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305604 (or 305597 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242020152 is about 15556.9968824320. The cubic root of 242020152 is about 623.1852655890.

Adding to 242020152 its reverse (251020242), we get a palindrome (493040394).

The spelling of 242020152 in words is "two hundred forty-two million, twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 305581 611162 916743 1222324 1833486 2444648 2750229 3361391 3666972 5500458 6722782 7333944 10084173 11000916 13445564 20168346 22001832 26891128 30252519 40336692 60505038 80673384 121010076 242020152