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2225145254445 = 32529283970079
BaseRepresentation
bin100000011000010100111…
…111100001001000101101
321212201111012100210220200
4200120110333201020231
5242424044141120240
64422115001104113
7316522113406551
oct40302477411055
97781435323820
102225145254445
11788751539903
122bb2b8788039
13131aa4216919
14799aa329861
153cd33c67930
hex20614fe122d

2225145254445 has 72 divisors (see below), whose sum is σ = 3999319833600. Its totient is φ = 1144439893632.

The previous prime is 2225145254429. The next prime is 2225145254471. The reversal of 2225145254445 is 5444525415222.

2225145254445 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 14 + 52 + 544 + 45 = 666.

It is not a de Polignac number, because 2225145254445 - 24 = 2225145254429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2225145254445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31716916 + ... + 31786994.

It is an arithmetic number, because the mean of its divisors is an integer number (55546108800).

Almost surely, 22225145254445 is an apocalyptic number.

It is an amenable number.

2225145254445 is a deficient number, since it is larger than the sum of its proper divisors (1774174579155).

2225145254445 is a wasteful number, since it uses less digits than its factorization.

2225145254445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70987 (or 70955 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 45.

The spelling of 2225145254445 in words is "two trillion, two hundred twenty-five billion, one hundred forty-five million, two hundred fifty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 839 841 1305 2517 2523 4195 4205 7551 7569 12585 12615 24331 37755 37845 70079 72993 121655 210237 218979 350395 364965 630711 705599 1051185 1094895 2032291 2116797 3153555 3527995 6096873 6350391 10161455 10583985 18290619 30484365 31751955 58796281 58936439 91453095 176388843 176809317 293981405 294682195 529166529 530427951 881944215 884046585 1705092149 2645832645 2652139755 5115276447 8525460745 15345829341 25576382235 49447672321 76729146705 148343016963 247238361605 445029050889 741715084815 2225145254445