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224131123993 = 7194747897487
BaseRepresentation
bin1101000010111101000…
…0011000101100011001
3210102112002020210111111
43100233100120230121
512133010031431433
6250544151500321
722123115056120
oct3205720305431
9712462223444
10224131123993
11870651a3887
12375310876a1
131819b83877a
14abc2cd0ab7
155c6bc16dcd
hex342f418b19

224131123993 has 32 divisors (see below), whose sum is σ = 275462553600. Its totient is φ = 178067865024.

The previous prime is 224131123969. The next prime is 224131124033. The reversal of 224131123993 is 399321131422.

It is not a de Polignac number, because 224131123993 - 29 = 224131123481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224131123913) 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 31 ways as a sum of consecutive naturals, for example, 29932296 + ... + 29939782.

It is an arithmetic number, because the mean of its divisors is an integer number (8608204800).

Almost surely, 2224131123993 is an apocalyptic number.

It is an amenable number.

224131123993 is a deficient number, since it is larger than the sum of its proper divisors (51331429607).

224131123993 is a wasteful number, since it uses less digits than its factorization.

224131123993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12349.

The product of its digits is 69984, while the sum is 40.

The spelling of 224131123993 in words is "two hundred twenty-four billion, one hundred thirty-one million, one hundred twenty-three thousand, nine hundred ninety-three".

Divisors: 1 7 19 47 133 329 893 4789 6251 7487 33523 52409 90991 142253 225083 351889 636937 995771 1575581 2463223 4276577 6685891 29936039 35855243 46801237 250986701 681249617 1685196421 4768747319 11796374947 32018731999 224131123993