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242017830 = 232519913513
BaseRepresentation
bin11100110110011…
…10011000100110
3121212101210001100
432123032120212
5443424032310
640003140530
75666055225
oct1633163046
9555353040
10242017830
1111468163a
1269074746
133b1a9422
14241dccbc
15163a8ec0
hexe6ce626

242017830 has 48 divisors (see below), whose sum is σ = 632455200. Its totient is φ = 64209024.

The previous prime is 242017829. The next prime is 242017861. The reversal of 242017830 is 38710242.

It is a junction number, because it is equal to n+sod(n) for n = 242017794 and 242017803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11154 + ... + 24666.

It is an arithmetic number, because the mean of its divisors is an integer number (13176150).

Almost surely, 2242017830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242017830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316227600).

242017830 is an abundant number, since it is smaller than the sum of its proper divisors (390437370).

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

242017830 is a wasteful number, since it uses less digits than its factorization.

242017830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13725 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 242017830 is about 15556.9222534536. The cubic root of 242017830 is about 623.1832725857.

The spelling of 242017830 in words is "two hundred forty-two million, seventeen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 995 1194 1791 1990 2985 3582 5970 8955 13513 17910 27026 40539 67565 81078 121617 135130 202695 243234 405390 608085 1216170 2689087 5378174 8067261 13445435 16134522 24201783 26890870 40336305 48403566 80672610 121008915 242017830