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7220750625 = 32541121032
BaseRepresentation
bin1101011100110001…
…11110100100100001
3200122020010010201100
412232120332210201
5104242003010000
63152301425013
7343636240044
oct65630764441
920566103640
107220750625
113075a1a900
12149626b169
138b0c7720a
144c6dc0c5b
152c3dc1a00
hex1ae63e921

7220750625 has 135 divisors (see below), whose sum is σ = 14466288837. Its totient is φ = 3466980000.

The previous prime is 7220750587. The next prime is 7220750659. The reversal of 7220750625 is 5260570227.

The square root of 7220750625 is 84975.

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

7220750625 is a `hidden beast` number, since 7 + 2 + 20 + 7 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 566106849 + 6654643776 = 23793^2 + 81576^2 .

It is not a de Polignac number, because 7220750625 - 215 = 7220717857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7220750625.

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 134 ways as a sum of consecutive naturals, for example, 70104324 + ... + 70104426.

Almost surely, 27220750625 is an apocalyptic number.

7220750625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7220750625 is the 84975-th square number.

7220750625 is the 42488-th centered octagonal number.

It is an amenable number.

7220750625 is an abundant number, since it is smaller than the sum of its proper divisors (7245538212).

7220750625 is a wasteful number, since it uses less digits than its factorization.

7220750625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The cubic root of 7220750625 is about 1932.8320370100.

Multiplying 7220750625 by its sum of digits (36), we get a square (259947022500 = 5098502).

The spelling of 7220750625 in words is "seven billion, two hundred twenty million, seven hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 103 121 125 165 225 275 309 363 375 495 515 605 625 825 927 1089 1125 1133 1375 1545 1815 1875 2475 2575 3025 3399 4125 4635 5445 5625 5665 6875 7725 9075 10197 10609 12375 12463 12875 15125 16995 20625 23175 27225 28325 31827 37389 38625 45375 50985 53045 61875 62315 64375 75625 84975 95481 112167 115875 116699 136125 141625 159135 186945 193125 226875 254925 265225 311575 350097 424875 477405 560835 579375 583495 680625 708125 795675 934725 1050291 1274625 1283689 1326125 1557875 1750485 2124375 2387025 2804175 2917475 3851067 3978375 4673625 5251455 6373125 6418445 6630625 7789375 8752425 11553201 11935125 14020875 14587375 19255335 19891875 23368125 26257275 32092225 43762125 57766005 59675625 70104375 72936875 96276675 131286375 160461125 218810625 288830025 481383375 656431875 802305625 1444150125 2406916875 7220750625