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2264241 = 37273211
BaseRepresentation
bin1000101000110010110001
311021000221210
420220302301
51034423431
6120310333
725150200
oct10506261
94230853
102264241
111307181
129123a9
136137b5
1442d237
152ead46
hex228cb1

2264241 has 24 divisors (see below), whose sum is σ = 3576864. Its totient is φ = 1270080.

The previous prime is 2264239. The next prime is 2264267. The reversal of 2264241 is 1424622.

2264241 = T98 + T99 + ... + T243.

It is not a de Polignac number, because 2264241 - 21 = 2264239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2264201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10626 + ... + 10836.

It is an arithmetic number, because the mean of its divisors is an integer number (149036).

22264241 is an apocalyptic number.

2264241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2264241 is a deficient number, since it is larger than the sum of its proper divisors (1312623).

2264241 is a wasteful number, since it uses less digits than its factorization.

2264241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2264241 is about 1504.7395123409. The cubic root of 2264241 is about 131.3129475833.

Adding to 2264241 its reverse (1424622), we get a palindrome (3688863).

The spelling of 2264241 in words is "two million, two hundred sixty-four thousand, two hundred forty-one".

Divisors: 1 3 7 21 49 73 147 211 219 511 633 1477 1533 3577 4431 10339 10731 15403 31017 46209 107821 323463 754747 2264241