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2253195 = 325723311
BaseRepresentation
bin1000100110000110001011
311020110210200
420212012023
51034100240
6120143243
725103040
oct10460613
94213720
102253195
1112a994a
12907b23
1360b769
144291c7
152e7930
hex22618b

2253195 has 48 divisors (see below), whose sum is σ = 4672512. Its totient is φ = 982080.

The previous prime is 2253193. The next prime is 2253203. The reversal of 2253195 is 5913522.

2253195 = T111 + T112 + ... + T245.

It is not a de Polignac number, because 2253195 - 21 = 2253193 is a prime.

It is a d-powerful number, because it can be written as 216 + 216 + 57 + 313 + 1 + 95 + 58 .

2253195 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2253193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7090 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (97344).

22253195 is an apocalyptic number.

2253195 is an abundant number, since it is smaller than the sum of its proper divisors (2419317).

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

2253195 is a wasteful number, since it uses less digits than its factorization.

2253195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2253195 is about 1501.0646221932. The cubic root of 2253195 is about 131.0990645885.

The spelling of 2253195 in words is "two million, two hundred fifty-three thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 311 315 345 483 805 933 1035 1449 1555 2177 2415 2799 4665 6531 7153 7245 10885 13995 19593 21459 32655 35765 50071 64377 97965 107295 150213 250355 321885 450639 751065 2253195