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242400022004 = 22715835468821
BaseRepresentation
bin1110000111000000101…
…0101100110111110100
3212011200021101222020202
43201300022230313310
512432413401201004
6303205041420032
723340620122340
oct3416012546764
9764607358222
10242400022004
119388a5472a8
123ab8b33a618
1319b206973aa
14ba37316620
15648a9d8b1e
hex38702acdf4

242400022004 has 24 divisors (see below), whose sum is σ = 485106386688. Its totient is φ = 103820078880.

The previous prime is 242400021989. The next prime is 242400022027. The reversal of 242400022004 is 400220004242.

242400022004 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 7 ways as a sum of consecutive naturals, for example, 2690087 + ... + 2778734.

It is an arithmetic number, because the mean of its divisors is an integer number (20212766112).

Almost surely, 2242400022004 is an apocalyptic number.

It is an amenable number.

242400022004 is an abundant number, since it is smaller than the sum of its proper divisors (242706364684).

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

242400022004 is a wasteful number, since it uses less digits than its factorization.

242400022004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470415 (or 5470413 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 242400022004 its reverse (400220004242), we get a palindrome (642620026246).

The spelling of 242400022004 in words is "two hundred forty-two billion, four hundred million, twenty-two thousand, four".

Divisors: 1 2 4 7 14 28 1583 3166 6332 11081 22162 44324 5468821 10937642 21875284 38281747 76563494 153126988 8657143643 17314287286 34628574572 60600005501 121200011002 242400022004