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2225145373 = 112331614651
BaseRepresentation
bin1000010010100001…
…0000011000011101
312202002000002121121
42010220100120131
514024114122443
61004444330541
7106066265203
oct20450203035
95662002547
102225145373
11a42044720
12521243a51
13295cc6a89
14171745073
15d05374ed
hex84a1061d

2225145373 has 32 divisors (see below), whose sum is σ = 2658115584. Its totient is φ = 1841400000.

The previous prime is 2225145367. The next prime is 2225145383. The reversal of 2225145373 is 3735415222.

It is not a de Polignac number, because 2225145373 - 29 = 2225144861 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225145323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476098 + ... + 480748.

It is an arithmetic number, because the mean of its divisors is an integer number (83066112).

Almost surely, 22225145373 is an apocalyptic number.

2225145373 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2225145373 is a deficient number, since it is larger than the sum of its proper divisors (432970211).

2225145373 is a wasteful number, since it uses less digits than its factorization.

2225145373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777.

The product of its digits is 50400, while the sum is 34.

The square root of 2225145373 is about 47171.4465858320. The cubic root of 2225145373 is about 1305.5278171038.

The spelling of 2225145373 in words is "two billion, two hundred twenty-five million, one hundred forty-five thousand, three hundred seventy-three".

Divisors: 1 11 23 31 61 253 341 671 713 1403 1891 4651 7843 15433 20801 43493 51161 106973 144181 283711 478423 1176703 1585991 3120821 3316163 6525353 8795041 36477793 71778883 96745451 202285943 2225145373