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242142200225 = 5249371961857
BaseRepresentation
bin1110000110000011001…
…1001100000110100001
3212011000022021021020222
43201200303030012201
512431401400401400
6303123311412425
723331336512342
oct3414063140641
9764008237228
10242142200225
1193767a60a52
123ab18b24115
1319aac146723
14ba10da20c9
15647305c185
hex3860ccc1a1

242142200225 has 12 divisors (see below), whose sum is σ = 300317298924. Its totient is φ = 193674424320.

The previous prime is 242142200197. The next prime is 242142200239. The reversal of 242142200225 is 522002241242.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25329040801 + 216813159424 = 159151^2 + 465632^2 .

It is not a de Polignac number, because 242142200225 - 28 = 242142199969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242142200194 and 242142200203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 857504 + ... + 1104353.

It is an arithmetic number, because the mean of its divisors is an integer number (25026441577).

Almost surely, 2242142200225 is an apocalyptic number.

242142200225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242142200225 is a deficient number, since it is larger than the sum of its proper divisors (58175098699).

242142200225 is a wasteful number, since it uses less digits than its factorization.

242142200225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966804 (or 1966799 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 242142200225 its reverse (522002241242), we get a palindrome (764144441467).

The spelling of 242142200225 in words is "two hundred forty-two billion, one hundred forty-two million, two hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 4937 24685 123425 1961857 9809285 49046425 9685688009 48428440045 242142200225