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225060400226151 = 327193143141050551
BaseRepresentation
bin110011001011000011110101…
…001101010101111101100111
31002111212120020020220002110100
4303023003311031111331213
5213444342144424214101
62114355153122355143
765256035344502430
oct6313036515257547
91074776206802410
10225060400226151
1165790641684816
12212aa2687bbab3
139877148c84559
143d80da5300487
151b0450e0a4e86
hexccb0f5355f67

225060400226151 has 96 divisors (see below), whose sum is σ = 413086288609280. Its totient is φ = 115164953064000.

The previous prime is 225060400226149. The next prime is 225060400226197. The reversal of 225060400226151 is 151622004060522.

225060400226151 is a `hidden beast` number, since 2 + 2 + 506 + 0 + 40 + 0 + 2 + 2 + 61 + 51 = 666.

It is not a de Polignac number, because 225060400226151 - 21 = 225060400226149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225060400226131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68929675 + ... + 72120876.

Almost surely, 2225060400226151 is an apocalyptic number.

225060400226151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

225060400226151 is a deficient number, since it is larger than the sum of its proper divisors (188025888383129).

225060400226151 is a wasteful number, since it uses less digits than its factorization.

225060400226151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141050657 (or 141050654 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 225060400226151 its reverse (151622004060522), we get a palindrome (376682404286673).

The spelling of 225060400226151 in words is "two hundred twenty-five trillion, sixty billion, four hundred million, two hundred twenty-six thousand, one hundred fifty-one".

Divisors: 1 3 7 9 19 21 31 43 57 63 93 129 133 171 217 279 301 387 399 589 651 817 903 1197 1333 1767 1953 2451 2709 3999 4123 5301 5719 7353 9331 11997 12369 17157 25327 27993 37107 51471 75981 83979 177289 227943 531867 1595601 141050551 423151653 987353857 1269454959 2679960469 2962061571 4372567081 6065173693 8039881407 8886184713 13117701243 18195521079 18759723283 24119644221 30607969567 39353103729 42456215851 54586563237 56279169849 83078774539 91823908701 115238300167 127368647553 168837509547 188020384483 249236323617 275471726103 345714900501 382105942659 564061153449 581551421773 747708970851 806668101169 1037144701503 1316142691381 1692183460347 1744654265319 2420004303507 3572387305177 3948428074143 5233962795957 7260012910521 10717161915531 11845284222429 25006711136239 32151485746593 75020133408717 225060400226151