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2297706512 = 24379740013
BaseRepresentation
bin1000100011110100…
…0011100000010000
312221010112120210012
42020331003200100
514201203102022
61015555454052
7110640116543
oct21075034020
95833476705
102297706512
11a79aa4a02
125415b7328
132a805126a
1417b23285a
15d6abbde2
hex88f43810

2297706512 has 40 divisors (see below), whose sum is σ = 4619376216. Its totient is φ = 1106251776.

The previous prime is 2297706497. The next prime is 2297706533. The reversal of 2297706512 is 2156077922.

It can be written as a sum of positive squares in 4 ways, for example, as 647397136 + 1650309376 = 25444^2 + 40624^2 .

It is a super-3 number, since 3×22977065123 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2297706512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37418 + ... + 77430.

Almost surely, 22297706512 is an apocalyptic number.

It is an amenable number.

2297706512 is an abundant number, since it is smaller than the sum of its proper divisors (2321669704).

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

2297706512 is a wasteful number, since it uses less digits than its factorization.

2297706512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40155 (or 40149 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 2297706512 is about 47934.3980039387. The cubic root of 2297706512 is about 1319.5672196162.

The spelling of 2297706512 in words is "two billion, two hundred ninety-seven million, seven hundred six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 37 74 97 148 194 296 388 592 776 1552 3589 7178 14356 28712 40013 57424 80026 160052 320104 640208 1480481 2960962 3881261 5921924 7762522 11843848 15525044 23687696 31050088 62100176 143606657 287213314 574426628 1148853256 2297706512