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242200000 = 26557173
BaseRepresentation
bin11100110111110…
…10110111000000
3121212202000221101
432123322313000
5444000400000
640011104144
76000444310
oct1633726700
9555660841
10242200000
11114796499
1269142054
133b241313
1424249440
15163e2e6a
hexe6fadc0

242200000 has 168 divisors, whose sum is σ = 690518304. Its totient is φ = 82560000.

The previous prime is 242199961. The next prime is 242200009. The reversal of 242200000 is 2242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 242200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242200009) 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, 1399914 + ... + 1400086.

It is an arithmetic number, because the mean of its divisors is an integer number (4110228).

Almost surely, 2242200000 is an apocalyptic number.

242200000 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 242200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345259152).

242200000 is an abundant number, since it is smaller than the sum of its proper divisors (448318304).

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

242200000 is an frugal number, since it uses more digits than its factorization.

242200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 242200000 is about 15562.7761019684. The cubic root of 242200000 is about 623.3395927829.

Adding to 242200000 its reverse (2242), we get a palindrome (242202242).

The spelling of 242200000 in words is "two hundred forty-two million, two hundred thousand".