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2590312212 = 223271953117
BaseRepresentation
bin1001101001100101…
…0000011100010100
320200112010111100100
42122121100130110
520301104442322
61105011214100
7121122201435
oct23231203424
96615114310
102590312212
11110a1889a4
126035a7330
13323860527
141a803d48c
15102619dac
hex9a650714

2590312212 has 18 divisors (see below), whose sum is σ = 6547733738. Its totient is φ = 863437392.

The previous prime is 2590312201. The next prime is 2590312213. The reversal of 2590312212 is 2122130952.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2087027856 + 503284356 = 45684^2 + 22434^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×25903122123 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590312213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35976523 + ... + 35976594.

Almost surely, 22590312212 is an apocalyptic number.

It is an amenable number.

2590312212 is an abundant number, since it is smaller than the sum of its proper divisors (3957421526).

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

2590312212 is a wasteful number, since it uses less digits than its factorization.

2590312212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71953127 (or 71953122 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2590312212 is about 50895.1099026223. The cubic root of 2590312212 is about 1373.3588727826.

The spelling of 2590312212 in words is "two billion, five hundred ninety million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71953117 143906234 215859351 287812468 431718702 647578053 863437404 1295156106 2590312212