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224942049378 = 236124212
BaseRepresentation
bin1101000101111110010…
…1110100100001100010
3210111121121011002000000
43101133211310201202
512141140131040003
6251200440440430
722152162605064
oct3213745644142
9714547132000
10224942049378
1187440a17052
1237718779116
131829a845487
14ac5c8a1734
155cb7eeb1a3
hex345f974862

224942049378 has 42 divisors (see below), whose sum is σ = 505928920977. Its totient is φ = 74974646520.

The previous prime is 224942049377. The next prime is 224942049421. The reversal of 224942049378 is 873940249422.

224942049378 is a `hidden beast` number, since 2 + 2 + 49 + 42 + 0 + 493 + 78 = 666.

224942049378 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 2 ways, for example, as 152027468649 + 72914580729 = 389907^2 + 270027^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335367.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (224942049377) 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 20 ways as a sum of consecutive naturals, for example, 18103608 + ... + 18116028.

Almost surely, 2224942049378 is an apocalyptic number.

224942049378 is an abundant number, since it is smaller than the sum of its proper divisors (280986871599).

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

224942049378 is an frugal number, since it uses more digits than its factorization.

224942049378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24862 (or 12426 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 224942049378 in words is "two hundred twenty-four billion, nine hundred forty-two million, forty-nine thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 12421 24842 37263 74526 111789 223578 335367 670734 1006101 2012202 3018303 6036606 9054909 18109818 154281241 308562482 462843723 925687446 1388531169 2777062338 4165593507 8331187014 12496780521 24993561042 37490341563 74980683126 112471024689 224942049378