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2258235 = 325767107
BaseRepresentation
bin1000100111010100111011
311020201201100
420213110323
51034230420
6120222443
725123530
oct10472473
94221640
102258235
111302711
1290aa23
13610b45
1442ad87
152e9190
hex22753b

2258235 has 48 divisors (see below), whose sum is σ = 4582656. Its totient is φ = 1007424.

The previous prime is 2258233. The next prime is 2258251. The reversal of 2258235 is 5328522.

It is not a de Polignac number, because 2258235 - 21 = 2258233 is a prime.

It is a d-powerful number, because it can be written as 212 + 220 + 57 + 8 + 220 + 36 + 57 .

Its product of digits (4800) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2258199 and 2258208.

It is not an unprimeable number, because it can be changed into a prime (2258233) 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, 21052 + ... + 21158.

It is an arithmetic number, because the mean of its divisors is an integer number (95472).

22258235 is an apocalyptic number.

2258235 is an abundant number, since it is smaller than the sum of its proper divisors (2324421).

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

2258235 is a wasteful number, since it uses less digits than its factorization.

2258235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2258235 is about 1502.7424929109. The cubic root of 2258235 is about 131.1967402955.

The spelling of 2258235 in words is "two million, two hundred fifty-eight thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 107 201 315 321 335 469 535 603 749 963 1005 1407 1605 2247 2345 3015 3745 4221 4815 6741 7035 7169 11235 21105 21507 33705 35845 50183 64521 107535 150549 250915 322605 451647 752745 2258235