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224013201012 = 22326222588917
BaseRepresentation
bin1101000010100000111…
…0100010111001110100
3210102012212100200120200
43100220032202321310
512132234334413022
6250524340200500
722120153535256
oct3205016427164
9712185320520
10224013201012
1187004680577
12374b9699130
131818028b063
14abb1395cd6
155c616c1bac
hex34283a2e74

224013201012 has 18 divisors (see below), whose sum is σ = 566255591538. Its totient is φ = 74671066992.

The previous prime is 224013200903. The next prime is 224013201017. The reversal of 224013201012 is 210102310422.

It is a happy number.

224013201012 is a `hidden beast` number, since 2 + 240 + 1 + 320 + 101 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144197910756 + 79815290256 = 379734^2 + 282516^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224013201017) 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 5 ways as a sum of consecutive naturals, for example, 3111294423 + ... + 3111294494.

Almost surely, 2224013201012 is an apocalyptic number.

It is an amenable number.

224013201012 is an abundant number, since it is smaller than the sum of its proper divisors (342242390526).

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

224013201012 is a wasteful number, since it uses less digits than its factorization.

224013201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222588927 (or 6222588922 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 224013201012 its reverse (210102310422), we get a palindrome (434115511434).

The spelling of 224013201012 in words is "two hundred twenty-four billion, thirteen million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 6222588917 12445177834 18667766751 24890355668 37335533502 56003300253 74671067004 112006600506 224013201012