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221430004340 = 225263178923531
BaseRepresentation
bin1100111000111001000…
…0011011101001110100
3210011112211121200220212
43032032100123221310
512111442040114330
6245420141244552
721666145660526
oct3161620335164
9704484550825
10221430004340
11859a9512696
1236ab8563758
1317b5b04c50c
14aa08289a16
155b5ea10295
hex338e41ba74

221430004340 has 48 divisors (see below), whose sum is σ = 467051840640. Its totient is φ = 88182157440.

The previous prime is 221430004337. The next prime is 221430004343. The reversal of 221430004340 is 43400034122.

221430004340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221430004337) and next prime (221430004343).

It is a super-3 number, since 3×2214300043403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221430004343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9398375 + ... + 9421905.

It is an arithmetic number, because the mean of its divisors is an integer number (9730246680).

Almost surely, 2221430004340 is an apocalyptic number.

221430004340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221430004340 is an abundant number, since it is smaller than the sum of its proper divisors (245621836300).

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

221430004340 is a wasteful number, since it uses less digits than its factorization.

221430004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25592 (or 25590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 221430004340 its reverse (43400034122), we get a palindrome (264830038462).

The spelling of 221430004340 in words is "two hundred twenty-one billion, four hundred thirty million, four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 263 526 1052 1315 1789 2630 3578 5260 7156 8945 17890 23531 35780 47062 94124 117655 235310 470507 470620 941014 1882028 2352535 4705070 6188653 9410140 12377306 24754612 30943265 42096959 61886530 84193918 123773060 168387836 210484795 420969590 841939180 11071500217 22143000434 44286000868 55357501085 110715002170 221430004340