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223079937152 = 2710923832
BaseRepresentation
bin1100111111000010011…
…0011011010010000000
3210022210211020222020112
43033300212123102000
512123331430442102
6250252001130452
722055062115342
oct3176046332200
9708724228215
10223079937152
1186675899626
1237299029a28
1318061b18c17
14ab2345b292
155c097c4252
hex33f099b480

223079937152 has 72 divisors (see below), whose sum is σ = 449705847465. Its totient is φ = 110228110848.

The previous prime is 223079937151. The next prime is 223079937161. The reversal of 223079937152 is 251739970322.

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 2 ways, for example, as 214057976896 + 9021960256 = 462664^2 + 94984^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333976.

It is a super-3 number, since 3×2230799371523 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223079937152.

It is not an unprimeable number, because it can be changed into a prime (223079937151) 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 8 ways as a sum of consecutive naturals, for example, 582453953 + ... + 582454335.

Almost surely, 2223079937152 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 223079937152

223079937152 is an abundant number, since it is smaller than the sum of its proper divisors (226625910313).

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

223079937152 is an frugal number, since it uses more digits than its factorization.

223079937152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 50.

Multiplying 223079937152 by its sum of digits (50), we get a square (11153996857600 = 33397602).

The spelling of 223079937152 in words is "two hundred twenty-three billion, seventy-nine million, nine hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 383 436 766 872 1532 1744 3064 3488 6128 6976 11881 12256 13952 23762 24512 41747 47524 49024 83494 95048 146689 166988 190096 293378 333976 380192 586756 667952 760384 1173512 1335904 1520768 2347024 2671808 4550423 4694048 5343616 9100846 9388096 15989101 18201692 18776192 31978202 36403384 63956404 72806768 127912808 145613536 255825616 291227072 511651232 582454144 1023302464 1742812009 2046604928 3485624018 6971248036 13942496072 27884992144 55769984288 111539968576 223079937152