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2254248 = 2332131239
BaseRepresentation
bin1000100110010110101000
311020112020200
420212112220
51034113443
6120152200
725106103
oct10462650
94215220
102254248
1112aa717
12908660
1360c099
1442973a
152e7dd3
hex2265a8

2254248 has 48 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 742560.

The previous prime is 2254247. The next prime is 2254267. The reversal of 2254248 is 8424522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2254243) 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, 9313 + ... + 9551.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

22254248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

2254248 is an abundant number, since it is smaller than the sum of its proper divisors (3923352).

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

2254248 is a wasteful number, since it uses less digits than its factorization.

2254248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

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

The square root of 2254248 is about 1501.4153322782. The cubic root of 2254248 is about 131.1194838621.

The spelling of 2254248 in words is "two million, two hundred fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 239 262 393 478 524 717 786 956 1048 1179 1434 1572 1912 2151 2358 2868 3144 4302 4716 5736 8604 9432 17208 31309 62618 93927 125236 187854 250472 281781 375708 563562 751416 1127124 2254248