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229868466916 = 22112192312372
BaseRepresentation
bin1101011000010100111…
…0100111001011100100
3210222022221002000101211
43112011032213023210
512231232311420131
6253333343001204
722415232505324
oct3260516471344
9728287060354
10229868466916
1189539836500
1238672599204
13188a437ca3a
14b1a8c8b284
155ea576a5b1
hex35853a72e4

229868466916 has 243 divisors, whose sum is σ = 495584828361. Its totient is φ = 93204302400.

The previous prime is 229868466889. The next prime is 229868466923. The reversal of 229868466916 is 619664868922.

The square root of 229868466916 is 479446.

It is a perfect power (a square), and thus also a powerful number.

229868466916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 205689460900 + 24179006016 = 453530^2 + 155496^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 6212661250 + ... + 6212661286.

Almost surely, 2229868466916 is an apocalyptic number.

229868466916 is the 479446-th square number.

It is an amenable number.

229868466916 is an abundant number, since it is smaller than the sum of its proper divisors (265716361445).

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

229868466916 is a wasteful number, since it uses less digits than its factorization.

229868466916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 67.

The spelling of 229868466916 in words is "two hundred twenty-nine billion, eight hundred sixty-eight million, four hundred sixty-six thousand, nine hundred sixteen".