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2220230332314 = 232154737971701
BaseRepresentation
bin100000010011110000000…
…010100100111110011010
321212020210200001220020200
4200103300002210332122
5242334012431113224
64415543145203030
7316256243304531
oct40236002447632
97766720056220
102220230332314
1178665a161095
122ba366790476
1313149cba5787
1479661693318
153cb475195c9
hex204f00a4f9a

2220230332314 has 24 divisors (see below), whose sum is σ = 4810810553172. Its totient is φ = 740028854400.

The previous prime is 2220230332297. The next prime is 2220230332351. The reversal of 2220230332314 is 4132330320222.

2220230332314 is a `hidden beast` number, since 2 + 2 + 20 + 2 + 303 + 323 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2202775430625 + 17454901689 = 1484175^2 + 132117^2 .

It is a super-3 number, since 3×22202303323143 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3707337 + ... + 4264364.

Almost surely, 22220230332314 is an apocalyptic number.

2220230332314 is an abundant number, since it is smaller than the sum of its proper divisors (2590580220858).

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

2220230332314 is a wasteful number, since it uses less digits than its factorization.

2220230332314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987182 (or 7987179 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2220230332314 its reverse (4132330320222), we get a palindrome (6352560652536).

The spelling of 2220230332314 in words is "two trillion, two hundred twenty billion, two hundred thirty million, three hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 15473 30946 46419 92838 139257 278514 7971701 15943402 23915103 47830206 71745309 143490618 123346129573 246692259146 370038388719 740076777438 1110115166157 2220230332314