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242221032 = 233217197893
BaseRepresentation
bin11100110111111…
…11111111101000
3121212210002210100
432123333333220
5444002033112
640011345400
76000562524
oct1633777750
9555702710
10242221032
11114800279
1269152260
133b24aa71
1424252d84
15163e92dc
hexe6fffe8

242221032 has 48 divisors (see below), whose sum is σ = 694607940. Its totient is φ = 75990528.

The previous prime is 242220991. The next prime is 242221051. The reversal of 242221032 is 230122242.

242221032 is a `hidden beast` number, since 2 + 422 + 210 + 32 = 666.

242221032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 219810276 + 22410756 = 14826^2 + 4734^2 .

It is a super-3 number, since 3×2422210323 (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 242220996 and 242221014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97723 + ... + 100170.

Almost surely, 2242221032 is an apocalyptic number.

It is an amenable number.

242221032 is an abundant number, since it is smaller than the sum of its proper divisors (452386908).

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

242221032 is a wasteful number, since it uses less digits than its factorization.

242221032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197922 (or 197915 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242221032 is about 15563.4518022192. The cubic root of 242221032 is about 623.3576353081.

Adding to 242221032 its reverse (230122242), we get a palindrome (472343274).

It can be divided in two parts, 2422210 and 32, that added together give a palindrome (2422242).

The spelling of 242221032 in words is "two hundred forty-two million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 197893 395786 593679 791572 1187358 1583144 1781037 2374716 3364181 3562074 4749432 6728362 7124148 10092543 13456724 14248296 20185086 26913448 30277629 40370172 60555258 80740344 121110516 242221032