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229054131216 = 2432398832
BaseRepresentation
bin1101010101010010110…
…0001010110000010000
3210220020011202110211100
43111110230022300100
512223100324144331
6253120452544400
722356113663631
oct3252454126020
9726204673740
10229054131216
11891610a3a99
1238485922100
13187a474a9b1
14b12ca6d888
155e59010ae6
hex3554b0ac10

229054131216 has 45 divisors (see below), whose sum is σ = 641049509919. Its totient is φ = 76349462688.

The previous prime is 229054131211. The next prime is 229054131221. The reversal of 229054131216 is 612131450922.

The square root of 229054131216 is 478596.

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

229054131216 is a `hidden beast` number, since 2 + 2 + 90 + 541 + 3 + 1 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (229054131211) and next prime (229054131221).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (229054131211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5723211 + ... + 5763093.

Almost surely, 2229054131216 is an apocalyptic number.

229054131216 is the 478596-th square number.

It is an amenable number.

229054131216 is an abundant number, since it is smaller than the sum of its proper divisors (411995378703).

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

229054131216 is an frugal number, since it uses more digits than its factorization.

229054131216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79780 (or 39888 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 229054131216 by its sum of digits (36), we get a square (8245948723776 = 28715762).

229054131216 divided by its sum of digits (36) gives a square (6362614756 = 797662).

The spelling of 229054131216 in words is "two hundred twenty-nine billion, fifty-four million, one hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 39883 79766 119649 159532 239298 319064 358947 478596 638128 717894 957192 1435788 1914384 2871576 5743152 1590653689 3181307378 4771961067 6362614756 9543922134 12725229512 14315883201 19087844268 25450459024 28631766402 38175688536 57263532804 76351377072 114527065608 229054131216