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6232337496225 = 345229219132
BaseRepresentation
bin101101010110001010001…
…0000110011100010100001
3211001210202022112020210000
41122230110100303202201
51304102311344334400
621131032445530213
71212162063434631
oct132542420634241
924053668466700
106232337496225
111a93135049145
12847a51273969
133629260b7209
1417790a9486c1
15ac1b6362600
hex5ab144338a1

6232337496225 has 135 divisors (see below), whose sum is σ = 11962508000443. Its totient is φ = 3207618005760.

The previous prime is 6232337496223. The next prime is 6232337496233. The reversal of 6232337496225 is 5226947332326.

The square root of 6232337496225 is 2496465.

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

6232337496225 is a `hidden beast` number, since 6 + 2 + 3 + 2 + 3 + 3 + 7 + 4 + 9 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1356649551009 + 4875687945216 = 1164753^2 + 2208096^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6232337496225 - 21 = 6232337496223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6232337496223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3257885869 + ... + 3257887781.

Almost surely, 26232337496225 is an apocalyptic number.

6232337496225 is the 2496465-th square number.

6232337496225 is the 1248233-rd centered octagonal number.

It is an amenable number.

6232337496225 is a deficient number, since it is larger than the sum of its proper divisors (5730170504218).

6232337496225 is an frugal number, since it uses more digits than its factorization.

6232337496225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 1950 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 54.

The spelling of 6232337496225 in words is "six trillion, two hundred thirty-two billion, three hundred thirty-seven million, four hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 783 841 1305 1913 2025 2175 2349 2523 3915 4205 5739 6525 7569 9565 11745 12615 17217 19575 21025 22707 28695 37845 47825 51651 55477 58725 63075 68121 86085 113535 143475 154953 166431 189225 258255 277385 340605 430425 499293 567675 774765 832155 1291275 1386925 1497879 1608833 1703025 2496465 3659569 3873825 4160775 4493637 4826499 7489395 8044165 10978707 12482325 14479497 18297845 22468185 24132495 32936121 37446975 40220825 43438491 54893535 72397485 91489225 98808363 106127501 112340925 120662475 130315473 164680605 217192455 274467675 296425089 318382503 361987425 494041815 530637505 651577365 823403025 955147509 1085962275 1482125445 1591912515 2470209075 2653187525 2865442527 3077697529 3257886825 4775737545 7410627225 7959562575 8596327581 9233092587 14327212635 15388487645 23878687725 27699277761 42981637905 46165462935 71636063175 76942438225 83097833283 138496388805 214908189525 230827314675 249293499849 415489166415 692481944025 1246467499245 2077445832075 6232337496225