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242234035400 = 235271097872017
BaseRepresentation
bin1110000110011001000…
…1100000110011001000
3212011020201001222102202
43201212101200303020
512432043403113100
6303140352015332
723333533220360
oct3414621406310
9764221058382
10242234035400
1193804886095
123ab43831548
1319ac518ba76
14ba1d2699a0
15647b14c7d5
hex3866460cc8

242234035400 has 192 divisors, whose sum is σ = 650703292800. Its totient is φ = 82144419840.

The previous prime is 242234035327. The next prime is 242234035441. The reversal of 242234035400 is 4530432242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120095192 + ... + 120097208.

It is an arithmetic number, because the mean of its divisors is an integer number (3389079650).

Almost surely, 2242234035400 is an apocalyptic number.

242234035400 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 242234035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325351646400).

242234035400 is an abundant number, since it is smaller than the sum of its proper divisors (408469257400).

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

242234035400 is a wasteful number, since it uses less digits than its factorization.

242234035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 242234035400 its reverse (4530432242), we get a palindrome (246764467642).

The spelling of 242234035400 in words is "two hundred forty-two billion, two hundred thirty-four million, thirty-five thousand, four hundred".