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224723443232 = 2547217832
BaseRepresentation
bin1101000101001010001…
…1111001111000100000
3210111001100210201202002
43101102203321320200
512140213200140412
6251123031143132
722143566515301
oct3212243717040
9714040721662
10224723443232
1187339586012
1237677514aa8
1318264475322
14ac3b8387a8
155ca3c18dc2
hex34528f9e20

224723443232 has 54 divisors (see below), whose sum is σ = 452291512743. Its totient is φ = 109909369152.

The previous prime is 224723443171. The next prime is 224723443271. The reversal of 224723443232 is 232344327422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 112361721616 + 112361721616 = 335204^2 + 335204^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335204.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 126035813 + ... + 126037595.

Almost surely, 2224723443232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224723443232

224723443232 is an abundant number, since it is smaller than the sum of its proper divisors (227568069511).

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

224723443232 is an frugal number, since it uses more digits than its factorization.

224723443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 1832 counting only the distinct ones).

The product of its digits is 387072, while the sum is 38.

The spelling of 224723443232 in words is "two hundred twenty-four billion, seven hundred twenty-three million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 1783 2209 3566 4418 7132 8836 14264 17672 28528 35344 57056 70688 83801 167602 335204 670408 1340816 2681632 3179089 3938647 6358178 7877294 12716356 15754588 25432712 31509176 50865424 63018352 101730848 126036704 149417183 298834366 597668732 1195337464 2390674928 4781349856 7022607601 14045215202 28090430404 56180860808 112361721616 224723443232