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223043675625 = 345420992
BaseRepresentation
bin1100111110111001110…
…0000110010111101001
3210022201022000200210000
43033232130012113221
512123243140110000
6250244224013213
722054141650531
oct3175634062751
9708638020700
10223043675625
1186657381821
1237288a61209
1318057460bb4
14ab1c6dc4c1
155c06510000
hex33ee7065e9

223043675625 has 75 divisors (see below), whose sum is σ = 416551052401. Its totient is φ = 118899954000.

The previous prime is 223043675611. The next prime is 223043675633. The reversal of 223043675625 is 526576340322.

The square root of 223043675625 is 472275.

It is a perfect power (a square), and thus also a powerful number.

223043675625 is a `hidden beast` number, since 2 + 23 + 0 + 4 + 3 + 67 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17486624169 + 205557051456 = 132237^2 + 453384^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 223043675625 - 229 = 222506804713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 106260826 + ... + 106262924.

Almost surely, 2223043675625 is an apocalyptic number.

223043675625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223043675625 is the 472275-th square number.

223043675625 is the 236138-th centered octagonal number.

It is an amenable number.

223043675625 is a deficient number, since it is larger than the sum of its proper divisors (193507376776).

223043675625 is an frugal number, since it uses more digits than its factorization.

223043675625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

It can be divided in two parts, 22304 and 3675625, that added together give a square (3697929 = 19232).

The spelling of 223043675625 in words is "two hundred twenty-three billion, forty-three million, six hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 2099 3375 5625 6297 10125 10495 16875 18891 31485 50625 52475 56673 94455 157425 170019 262375 283365 472275 787125 850095 1311875 1416825 2361375 3935625 4250475 4405801 7084125 11806875 13217403 21252375 22029005 35420625 39652209 66087015 106261875 110145025 118956627 198261045 330435075 356869881 550725125 594783135 991305225 1652175375 1784349405 2753625625 2973915675 4956526125 8260876875 8921747025 14869578375 24782630625 44608735125 74347891875 223043675625