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2272725 = 335271337
BaseRepresentation
bin1000101010110111010101
311021110121000
420222313111
51040211400
6120413513
725214010
oct10526725
94243530
102272725
111312594
12917299
13617610
14432377
152ed600
hex22add5

2272725 has 96 divisors (see below), whose sum is σ = 5277440. Its totient is φ = 933120.

The previous prime is 2272691. The next prime is 2272727. The reversal of 2272725 is 5272722.

It is a happy number.

It is not a de Polignac number, because 2272725 - 27 = 2272597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 25 + 213 + 75 + 215 + 76 + 221 + 53 .

It is a Curzon number.

2272725 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272727) 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, 61407 + ... + 61443.

22272725 is an apocalyptic number.

2272725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2272725 is an abundant number, since it is smaller than the sum of its proper divisors (3004715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2272725 is a wasteful number, since it uses less digits than its factorization.

2272725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 2272725 is about 1507.5559691103. Note that the first 3 decimals coincide. The cubic root of 2272725 is about 131.4767508909.

The spelling of 2272725 in words is "two million, two hundred seventy-two thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 37 39 45 63 65 75 91 105 111 117 135 175 185 189 195 225 259 273 315 325 333 351 455 481 525 555 585 675 777 819 925 945 975 999 1295 1365 1443 1575 1665 1755 2275 2331 2405 2457 2775 2925 3367 3885 4095 4329 4725 4995 6475 6825 6993 7215 8325 8775 10101 11655 12025 12285 12987 16835 19425 20475 21645 24975 30303 34965 36075 50505 58275 61425 64935 84175 90909 108225 151515 174825 252525 324675 454545 757575 2272725