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2234107575 = 345273972
BaseRepresentation
bin1000010100101001…
…1100011010110111
312202200212102110000
42011022130122313
514033412420300
61005404402343
7106235413110
oct20512343267
95680772400
102234107575
11a471060a7
125242463b3
13297b1415b
141729d9207
15d1207c00
hex8529c6b7

2234107575 has 90 divisors (see below), whose sum is σ = 4741474056. Its totient is φ = 1018733760.

The previous prime is 2234107543. The next prime is 2234107583. The reversal of 2234107575 is 5757014322.

2234107575 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2234107575 - 25 = 2234107543 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5627277 + ... + 5627673.

Almost surely, 22234107575 is an apocalyptic number.

2234107575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2234107575 is an abundant number, since it is smaller than the sum of its proper divisors (2507366481).

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

2234107575 is an frugal number, since it uses more digits than its factorization.

2234107575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2234107575 is about 47266.3471721689. The cubic root of 2234107575 is about 1307.2782241658.

The spelling of 2234107575 in words is "two billion, two hundred thirty-four million, one hundred seven thousand, five hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 397 405 525 567 675 945 1191 1575 1985 2025 2779 2835 3573 4725 5955 8337 9925 10719 13895 14175 17865 25011 29775 32157 41685 53595 69475 75033 89325 125055 157609 160785 208425 225099 267975 375165 472827 625275 788045 803925 1103263 1125495 1418481 1875825 2364135 3309789 3940225 4255443 5516315 5627475 7092405 9929367 11820675 12766329 16548945 21277215 27581575 29788101 35462025 49646835 63831645 82744725 89364303 106386075 148940505 248234175 319158225 446821515 744702525 2234107575