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242104500 = 223253116773
BaseRepresentation
bin11100110111000…
…11100010110100
3121212120011221100
432123203202310
5443434321000
640005050100
75666566011
oct1633434264
9555504840
10242104500
11114730770
12690b6930
133b209a01
1424222708
15163c4a00
hexe6e38b4

242104500 has 288 divisors, whose sum is σ = 857211264. Its totient is φ = 57024000.

The previous prime is 242104493. The next prime is 242104543. The reversal of 242104500 is 5401242.

242104500 is a `hidden beast` number, since 2 + 4 + 210 + 450 + 0 = 666.

It is a super-2 number, since 2×2421045002 = 117229177840500000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3316464 + ... + 3316536.

It is an arithmetic number, because the mean of its divisors is an integer number (2976428).

Almost surely, 2242104500 is an apocalyptic number.

242104500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428605632).

242104500 is an abundant number, since it is smaller than the sum of its proper divisors (615106764).

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

242104500 is a wasteful number, since it uses less digits than its factorization.

242104500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242104500 is about 15559.7075807998. The cubic root of 242104500 is about 623.2576539486.

Adding to 242104500 its reverse (5401242), we get a palindrome (247505742).

The spelling of 242104500 in words is "two hundred forty-two million, one hundred four thousand, five hundred".