Search a number
-
+
670617225 = 345261289
BaseRepresentation
bin100111111110001…
…100111010001001
31201201212212220000
4213332030322021
52333134222400
6150313353213
722422103155
oct4776147211
91651785800
10670617225
11314600713
12168708809
13a8c22335
14650ca065
153dd1b600
hex27f8ce89

670617225 has 90 divisors (see below), whose sum is σ = 1277102970. Its totient is φ = 347846400.

The previous prime is 670617221. The next prime is 670617229. The reversal of 670617225 is 522716076.

It is an interprime number because it is at equal distance from previous prime (670617221) and next prime (670617229).

It can be written as a sum of positive squares in 9 ways, for example, as 624200256 + 46416969 = 24984^2 + 6813^2 .

It is not a de Polignac number, because 670617225 - 22 = 670617221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 670617225.

It is not an unprimeable number, because it can be changed into a prime (670617221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7534981 + ... + 7535069.

It is an arithmetic number, because the mean of its divisors is an integer number (14190033).

Almost surely, 2670617225 is an apocalyptic number.

It is an amenable number.

670617225 is a deficient number, since it is larger than the sum of its proper divisors (606485745).

670617225 is an equidigital number, since it uses as much as digits as its factorization.

670617225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 670617225 is about 25896.2782074954. The cubic root of 670617225 is about 875.3026327325.

The spelling of 670617225 in words is "six hundred seventy million, six hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 61 75 81 89 135 183 225 267 305 405 445 549 675 801 915 1335 1525 1647 2025 2225 2403 2745 3721 4005 4575 4941 5429 6675 7209 8235 11163 12015 13725 16287 18605 20025 24705 27145 33489 36045 41175 48861 55815 60075 81435 93025 100467 123525 135725 146583 167445 180225 244305 279075 301401 331169 407175 439749 502335 732915 837225 993507 1221525 1507005 1655845 2198745 2511675 2980521 3664575 4967535 7535025 8279225 8941563 10993725 14902605 24837675 26824689 44707815 74513025 134123445 223539075 670617225