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21393450225 = 3252741992
BaseRepresentation
bin10011111011001001…
…100010010011110001
32001012221112212121100
4103323021202103301
5322303210401400
613454503515013
71355102220000
oct237311422361
961187485540
1021393450225
119089054884
124190758a69
13202c2a20b4
14106d3b0c37
1585326a100
hex4fb2624f1

21393450225 has 135 divisors (see below), whose sum is σ = 44927488203. Its totient is φ = 9730717920.

The previous prime is 21393450187. The next prime is 21393450259. The reversal of 21393450225 is 52205439312.

The square root of 21393450225 is 146265.

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

21393450225 is a `hidden beast` number, since 2 + 1 + 393 + 45 + 0 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7701642081 + 13691808144 = 87759^2 + 117012^2 .

It is not a de Polignac number, because 21393450225 - 211 = 21393448177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21393450225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 107504676 + ... + 107504874.

Almost surely, 221393450225 is an apocalyptic number.

21393450225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21393450225 is the 146265-th square number.

21393450225 is the 73133-rd centered octagonal number.

It is an amenable number.

21393450225 is an abundant number, since it is smaller than the sum of its proper divisors (23534037978).

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

21393450225 is an frugal number, since it uses more digits than its factorization.

21393450225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 21393450225 by its sum of digits (36), we get a square (770164208100 = 8775902).

Adding to 21393450225 its reverse (52205439312), we get a palindrome (73598889537).

The spelling of 21393450225 in words is "twenty-one billion, three hundred ninety-three million, four hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 199 225 245 315 343 441 525 597 735 995 1029 1225 1393 1575 1715 1791 2205 2401 2985 3087 3675 4179 4975 5145 6965 7203 8575 8955 9751 11025 12005 12537 14925 15435 20895 21609 25725 29253 34825 36015 39601 44775 48755 60025 62685 68257 77175 87759 104475 108045 118803 146265 180075 198005 204771 243775 277207 313425 341285 356409 438795 477799 540225 594015 614313 731325 831621 990025 1023855 1386035 1433397 1706425 1782045 1940449 2193975 2388995 2494863 2970075 3071565 4158105 4300191 5119275 5821347 6930175 7166985 8910225 9702245 11944975 12474315 13583143 15357825 17464041 20790525 21500955 29106735 35834925 40749429 48511225 62371575 67915715 87320205 95082001 107504775 122248287 145533675 203747145 285246003 339578575 436601025 475410005 611241435 855738009 1018735725 1426230015 2377050025 3056207175 4278690045 7131150075 21393450225