Search a number
-
+
225254502555327 = 33741159720298971
BaseRepresentation
bin110011001101111000100110…
…100110111101111010111111
31002112120010020120200001112000
4303031320212212331322333
5214011032210123232302
62115024253453113343
765306046363204030
oct6315704646757277
91075503216601460
10225254502555327
11658559973575a3
122131b9b9188853
13988c54048567b
143d8a53a00ca87
151b095be8a631c
hexccde269bdebf

225254502555327 has 128 divisors (see below), whose sum is σ = 391166222899200. Its totient is φ = 125422954675200.

The previous prime is 225254502555113. The next prime is 225254502555347. The reversal of 225254502555327 is 723555205452522.

225254502555327 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 5 + 4 + 50 + 2 + 55 + 532 + 7 = 666.

It is not a de Polignac number, because 225254502555327 - 227 = 225254368337599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225254502555347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25109180952 + ... + 25109189922.

It is an arithmetic number, because the mean of its divisors is an integer number (3055986116400).

Almost surely, 2225254502555327 is an apocalyptic number.

225254502555327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

225254502555327 is a deficient number, since it is larger than the sum of its proper divisors (165911720343873).

225254502555327 is a wasteful number, since it uses less digits than its factorization.

225254502555327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 42000000, while the sum is 54.

The spelling of 225254502555327 in words is "two hundred twenty-five trillion, two hundred fifty-four billion, five hundred two million, five hundred fifty-five thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 1597 2029 2583 4791 6087 7749 8971 11179 14203 14373 18261 26913 33537 42609 43119 54783 62797 65477 80739 83189 100611 127827 188391 196431 242217 249567 301833 367811 383481 458339 565173 582323 589293 748701 1103433 1375017 1695519 1746969 1767879 2246103 2574677 3240313 3310299 4125051 5240907 7724031 9720939 9930897 12375153 14326687 15722721 18202159 22682191 23172093 29162817 42980061 54606477 68046573 69516279 87488451 100286809 127415113 128940183 132852833 163819431 204139719 300860427 382245339 386820549 398558499 491458293 587394167 612419157 746288519 902581281 929969831 1146736017 1195675497 1762182501 2238865557 2707743843 2789909493 3440208051 3587026491 4111759169 5224019633 5286547503 6716596671 8369728479 12335277507 15672058899 15859642509 20149790013 25109185437 29068847923 37005832521 47016176697 87206543769 111017497563 141048530091 203481935461 261619631307 610445806383 784858893921 1191822764843 1831337419149 3575468294529 5494012257447 8342759353901 10726404883587 25028278061703 32179214650761 75084834185109 225254502555327