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2248257 = 311193353
BaseRepresentation
bin1000100100111001000001
311020020000210
420210321001
51033421012
6120104333
725052454
oct10447101
94206023
102248257
1112a6170
129050a9
1360943b
1442749b
152e623c
hex224e41

2248257 has 16 divisors (see below), whose sum is σ = 3296448. Its totient is φ = 1351680.

The previous prime is 2248249. The next prime is 2248271. The reversal of 2248257 is 7528422.

It is not a de Polignac number, because 2248257 - 23 = 2248249 is a prime.

Its product of digits (8960) is a multiple of the sum of its prime divisors (560).

It is not an unprimeable number, because it can be changed into a prime (2248237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6193 + ... + 6545.

It is an arithmetic number, because the mean of its divisors is an integer number (206028).

22248257 is an apocalyptic number.

It is an amenable number.

2248257 is a deficient number, since it is larger than the sum of its proper divisors (1048191).

2248257 is a wasteful number, since it uses less digits than its factorization.

2248257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560.

The product of its digits is 8960, while the sum is 30.

The square root of 2248257 is about 1499.4188874361. The cubic root of 2248257 is about 131.0032242860.

The spelling of 2248257 in words is "two million, two hundred forty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 11 33 193 353 579 1059 2123 3883 6369 11649 68129 204387 749419 2248257