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242222880276 = 2233132695211231
BaseRepresentation
bin1110000110010110011…
…0111101011000010100
3212011012221002020111000
43201211212331120110
512432033024132101
6303135312543300
723333336340216
oct3414546753024
9764187066430
10242222880276
11937a9557083
123ab3bb51b30
1319ac2a844c0
14ba1b9a45b6
15647a197486
hex38659bd614

242222880276 has 192 divisors, whose sum is σ = 680661273600. Its totient is φ = 74050329600.

The previous prime is 242222880253. The next prime is 242222880307. The reversal of 242222880276 is 672088222242.

242222880276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196768581 + ... + 196769811.

It is an arithmetic number, because the mean of its divisors is an integer number (3545110800).

Almost surely, 2242222880276 is an apocalyptic number.

242222880276 is a gapful number since it is divisible by the number (26) 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 242222880276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340330636800).

242222880276 is an abundant number, since it is smaller than the sum of its proper divisors (438438393324).

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

242222880276 is a wasteful number, since it uses less digits than its factorization.

242222880276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 242222880276 in words is "two hundred forty-two billion, two hundred twenty-two million, eight hundred eighty thousand, two hundred seventy-six".