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229820524816 = 241198492
BaseRepresentation
bin1101011000001001011…
…1101110100100010000
3210222012120212022012111
43112002113232210100
512231133023243231
6253324511235104
722414111141411
oct3260227564420
9728176768174
10229820524816
1189514770933
123865a518a94
131889746522c
14b1a276b808
155ea144a4b1
hex35825ee910

229820524816 has 15 divisors (see below), whose sum is σ = 445280982181. Its totient is φ = 114909303616.

The previous prime is 229820524777. The next prime is 229820524819. The reversal of 229820524816 is 618425028922.

The square root of 229820524816 is 479396.

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

It can be written as a sum of positive squares in only one way, i.e., 75402963216 + 154417561600 = 274596^2 + 392960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 229820524816.

It is not an unprimeable number, because it can be changed into a prime (229820524819) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 1857660 + ... + 1977508.

Almost surely, 2229820524816 is an apocalyptic number.

229820524816 is the 479396-th square number.

It is an amenable number.

229820524816 is a deficient number, since it is larger than the sum of its proper divisors (215460457365).

229820524816 is an frugal number, since it uses more digits than its factorization.

229820524816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239706 (or 119851 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 229820524816 by its sum of digits (49), we get a square (11261205715984 = 33557722).

The spelling of 229820524816 in words is "two hundred twenty-nine billion, eight hundred twenty million, five hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 119849 239698 479396 958792 1917584 14363782801 28727565602 57455131204 114910262408 229820524816