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242042220 = 223257192097
BaseRepresentation
bin11100110110101…
…00010101101100
3121212110000111200
432123110111230
5443430322340
640003445500
75666216310
oct1633242554
9555400450
10242042220
111146989a2
1269086890
133b1b7564
1424207b40
15163b1330
hexe6d456c

242042220 has 72 divisors (see below), whose sum is σ = 839084064. Its totient is φ = 55323648.

The previous prime is 242042219. The next prime is 242042221. The reversal of 242042220 is 22240242.

242042220 is a `hidden beast` number, since 242 + 0 + 422 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (242042219) and next prime (242042221).

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 = 242042193 and 242042202.

It is not an unprimeable number, because it can be changed into a prime (242042221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94789 + ... + 97308.

Almost surely, 2242042220 is an apocalyptic number.

242042220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242042220 is an abundant number, since it is smaller than the sum of its proper divisors (597041844).

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

242042220 is a wasteful number, since it uses less digits than its factorization.

242042220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192119 (or 192114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 242042220 is about 15557.7061291181. The cubic root of 242042220 is about 623.2042062080.

Adding to 242042220 its reverse (22240242), we get a palindrome (264282462).

The spelling of 242042220 in words is "two hundred forty-two million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 192097 384194 576291 768388 960485 1152582 1344679 1728873 1920970 2305164 2689358 2881455 3457746 3841940 4034037 5378716 5762910 6723395 6915492 8068074 8644365 11525820 12102111 13446790 16136148 17288730 20170185 24204222 26893580 34577460 40340370 48408444 60510555 80680740 121021110 242042220