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242220040 = 23540115101
BaseRepresentation
bin11100110111111…
…11110000001000
3121212210001102121
432123333300020
5444002020130
640011341024
76000556606
oct1633776010
9555701377
10242220040
111147aa557
1269151774
133b24a48a
1424252876
15163e8d7a
hexe6ffc08

242220040 has 32 divisors (see below), whose sum is σ = 546390360. Its totient is φ = 96640000.

The previous prime is 242220031. The next prime is 242220067. The reversal of 242220040 is 40022242.

It can be written as a sum of positive squares in 4 ways, for example, as 216148804 + 26071236 = 14702^2 + 5106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242219996 and 242220023.

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, 8490 + ... + 23590.

Almost surely, 2242220040 is an apocalyptic number.

242220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242220040 is an abundant number, since it is smaller than the sum of its proper divisors (304170320).

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

242220040 is a wasteful number, since it uses less digits than its factorization.

242220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15513 (or 15509 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 242220040 is about 15563.4199326498. The cubic root of 242220040 is about 623.3567843338.

Adding to 242220040 its reverse (40022242), we get a palindrome (282242282).

The spelling of 242220040 in words is "two hundred forty-two million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 401 802 1604 2005 3208 4010 8020 15101 16040 30202 60404 75505 120808 151010 302020 604040 6055501 12111002 24222004 30277505 48444008 60555010 121110020 242220040