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2248953 = 37215299
BaseRepresentation
bin1000100101000011111001
311020020222120
420211003321
51033431303
6120111453
725054500
oct10450371
94206876
102248953
1112a6743
12905589
13609855
14427837
152e6553
hex2250f9

2248953 has 12 divisors (see below), whose sum is σ = 3488400. Its totient is φ = 1285032.

The previous prime is 2248951. The next prime is 2248969. The reversal of 2248953 is 3598422.

It is a happy number.

It is not a de Polignac number, because 2248953 - 21 = 2248951 is a prime.

It is a d-powerful number, because it can be written as 217 + 221 + 45 + 8 + 9 + 5 + 39 .

2248953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2248951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7503 + ... + 7796.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

22248953 is an apocalyptic number.

It is an amenable number.

2248953 is a deficient number, since it is larger than the sum of its proper divisors (1239447).

2248953 is a wasteful number, since it uses less digits than its factorization.

2248953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316 (or 15309 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 2248953 is about 1499.6509593902. The cubic root of 2248953 is about 131.0167412515.

The spelling of 2248953 in words is "two million, two hundred forty-eight thousand, nine hundred fifty-three".

Divisors: 1 3 7 21 49 147 15299 45897 107093 321279 749651 2248953