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2258424 = 233274481
BaseRepresentation
bin1000100111010111111000
311020201222100
420213113320
51034232144
6120223400
725124220
oct10472770
94221870
102258424
111302873
1290ab60
13610c5c
1442b080
152e9269
hex2275f8

2258424 has 48 divisors (see below), whose sum is σ = 6991920. Its totient is φ = 645120.

The previous prime is 2258419. The next prime is 2258429. The reversal of 2258424 is 4248522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2258419) and next prime (2258429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258429) 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, 1737 + ... + 2744.

It is an arithmetic number, because the mean of its divisors is an integer number (145665).

22258424 is an apocalyptic number.

2258424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2258424 is an abundant number, since it is smaller than the sum of its proper divisors (4733496).

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

2258424 is a wasteful number, since it uses less digits than its factorization.

2258424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4493 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2258424 is about 1502.8053766207. The cubic root of 2258424 is about 131.2004003061.

It can be divided in two parts, 225 and 8424, that added together give a square (8649 = 932).

The spelling of 2258424 in words is "two million, two hundred fifty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4481 8962 13443 17924 26886 31367 35848 40329 53772 62734 80658 94101 107544 125468 161316 188202 250936 282303 322632 376404 564606 752808 1129212 2258424