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242122254220 = 2257112276591051
BaseRepresentation
bin1110000101111110011…
…1000110011110001100
3212010221220201220111001
43201133213012132030
512431331244113340
6303121320110044
723331005126620
oct3413747063614
9763856656431
10242122254220
1193757778250
123ab12305324
1319aa7c81a62
14ba0c48d180
15647141c29a
hex385f9c678c

242122254220 has 192 divisors, whose sum is σ = 638285598720. Its totient is φ = 74948832000.

The previous prime is 242122254217. The next prime is 242122254223. The reversal of 242122254220 is 22452221242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242122254217) and next prime (242122254223).

It is a super-4 number, since 4×2421222542204 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (242122254223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230372695 + ... + 230373745.

It is an arithmetic number, because the mean of its divisors is an integer number (3324404160).

Almost surely, 2242122254220 is an apocalyptic number.

242122254220 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 242122254220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319142799360).

242122254220 is an abundant number, since it is smaller than the sum of its proper divisors (396163344500).

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

242122254220 is a wasteful number, since it uses less digits than its factorization.

242122254220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 242122254220 its reverse (22452221242), we get a palindrome (264574475462).

The spelling of 242122254220 in words is "two hundred forty-two billion, one hundred twenty-two million, two hundred fifty-four thousand, two hundred twenty".