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224401562164 = 221317253847921
BaseRepresentation
bin1101000011111101100…
…0000001101000110100
3210110012221010110221001
43100333120001220310
512134033244442124
6251031052133044
722132610543443
oct3207730015064
9713187113831
10224401562164
1187193916aaa
12375a7767184
1318212885b60
14ac0abaad5a
155c85836b44
hex343f601a34

224401562164 has 24 divisors (see below), whose sum is σ = 447787734408. Its totient is φ = 97477601280.

The previous prime is 224401562131. The next prime is 224401562173. The reversal of 224401562164 is 461265104422.

It can be written as a sum of positive squares in 4 ways, for example, as 9872164 + 224391690000 = 3142^2 + 473700^2 .

It is a super-3 number, since 3×2244015621643 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 126923077 + ... + 126924844.

It is an arithmetic number, because the mean of its divisors is an integer number (18657822267).

Almost surely, 2224401562164 is an apocalyptic number.

It is an amenable number.

224401562164 is a deficient number, since it is larger than the sum of its proper divisors (223386172244).

224401562164 is a wasteful number, since it uses less digits than its factorization.

224401562164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253847955 (or 253847953 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 224401562164 its reverse (461265104422), we get a palindrome (685666666586).

The spelling of 224401562164 in words is "two hundred twenty-four billion, four hundred one million, five hundred sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 253847921 507695842 1015391684 3300022973 4315414657 6600045946 8630829314 13200091892 17261658628 56100390541 112200781082 224401562164