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224104324224 = 2731153055001
BaseRepresentation
bin1101000010110110101…
…0001001110010000000
3210102110012211020010110
43100231222021302000
512132431201333344
6250541353231320
722122341216514
oct3205552116200
9712405736113
10224104324224
1187051059810
1237524102540
1318196114311
14abbd516144
155c696c13b9
hex342da89c80

224104324224 has 64 divisors (see below), whose sum is σ = 649393224480. Its totient is φ = 67910400000.

The previous prime is 224104324211. The next prime is 224104324237. The reversal of 224104324224 is 422423401422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224104324211) and next prime (224104324237).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 224104324191 and 224104324200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26523277 + ... + 26531724.

Almost surely, 2224104324224 is an apocalyptic number.

224104324224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224104324224 is an abundant number, since it is smaller than the sum of its proper divisors (425288900256).

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

224104324224 is a wasteful number, since it uses less digits than its factorization.

224104324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53055029 (or 53055017 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 224104324224 its reverse (422423401422), we get a palindrome (646527725646).

The spelling of 224104324224 in words is "two hundred twenty-four billion, one hundred four million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 53055001 106110002 159165003 212220004 318330006 424440008 583605011 636660012 848880016 1167210022 1273320024 1697760032 1750815033 2334420044 2546640048 3395520064 3501630066 4668840088 5093280096 6791040128 7003260132 9337680176 10186560192 14006520264 18675360352 20373120384 28013040528 37350720704 56026081056 74701441408 112052162112 224104324224