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242220030 = 23513751827
BaseRepresentation
bin11100110111111…
…11101111111110
3121212210001102020
432123333233332
5444002020110
640011341010
76000556563
oct1633775776
9555701366
10242220030
111147aa548
1269151766
133b24a480
142425286a
15163e8d70
hexe6ffbfe

242220030 has 64 divisors (see below), whose sum is σ = 627637248. Its totient is φ = 59472000.

The previous prime is 242219993. The next prime is 242220031. The reversal of 242220030 is 30022242.

242220030 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 (15).

It is a junction number, because it is equal to n+sod(n) for n = 242219991 and 242220009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292477 + ... + 293303.

It is an arithmetic number, because the mean of its divisors is an integer number (9806832).

Almost surely, 2242220030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313818624).

242220030 is an abundant number, since it is smaller than the sum of its proper divisors (385417218).

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

242220030 is a wasteful number, since it uses less digits than its factorization.

242220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601.

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 242220030 is about 15563.4196113836. The cubic root of 242220030 is about 623.3567757554.

Adding to 242220030 its reverse (30022242), we get a palindrome (272242272).

The spelling of 242220030 in words is "two hundred forty-two million, two hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 751 827 1502 1654 2253 2481 3755 4135 4506 4962 7510 8270 9763 10751 11265 12405 19526 21502 22530 24810 29289 32253 48815 53755 58578 64506 97630 107510 146445 161265 292890 322530 621077 1242154 1863231 3105385 3726462 6210770 8074001 9316155 16148002 18632310 24222003 40370005 48444006 80740010 121110015 242220030