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260223408200 = 23527251532
BaseRepresentation
bin1111001001011010000…
…1100001100001001000
3220212200102020210200102
43302112201201201020
513230414143030300
6315313414424532
724541402321400
oct3622641414110
9825612223612
10260223408200
11a03a636a138
1242524362148
131b70113b162
14c8484cb800
156b806070d5
hex3c96861848

260223408200 has 108 divisors (see below), whose sum is σ = 703934712315. Its totient is φ = 89202140160.

The previous prime is 260223408197. The next prime is 260223408229. The reversal of 260223408200 is 2804322062.

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 5 ways, for example, as 127819120324 + 132404287876 = 357518^2 + 363874^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=360710.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50496824 + ... + 50501976.

Almost surely, 2260223408200 is an apocalyptic number.

260223408200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260223408200

260223408200 is an abundant number, since it is smaller than the sum of its proper divisors (443711304115).

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

260223408200 is an frugal number, since it uses more digits than its factorization.

260223408200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 260223408200 in words is "two hundred sixty billion, two hundred twenty-three million, four hundred eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 5153 9800 10306 20612 25765 36071 41224 51530 72142 103060 128825 144284 180355 206120 252497 257650 288568 360710 504994 515300 721420 901775 1009988 1030600 1262485 1442840 1803550 2019976 2524970 3607100 5049940 6312425 7214200 10099880 12624850 25249700 26553409 50499400 53106818 106213636 132767045 185873863 212427272 265534090 371747726 531068180 663835225 743495452 929369315 1062136360 1301117041 1327670450 1486990904 1858738630 2602234082 2655340900 3717477260 4646846575 5204468164 5310681800 6505585205 7434954520 9293693150 10408936328 13011170410 18587386300 26022340820 32527926025 37174772600 52044681640 65055852050 130111704100 260223408200