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2249496 = 2332157199
BaseRepresentation
bin1000100101001100011000
311020021201200
420211030120
51033440441
6120114200
725056204
oct10451430
94207650
102249496
1112a7097
12905960
13609b82
14427b04
152e67b6
hex225318

2249496 has 48 divisors (see below), whose sum is σ = 6162000. Its totient is φ = 741312.

The previous prime is 2249483. The next prime is 2249537. The reversal of 2249496 is 6949422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2249496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11205 + ... + 11403.

It is an arithmetic number, because the mean of its divisors is an integer number (128375).

22249496 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 2249496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081000).

2249496 is an abundant number, since it is smaller than the sum of its proper divisors (3912504).

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

2249496 is a wasteful number, since it uses less digits than its factorization.

2249496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2249496 is about 1499.8319905909. The cubic root of 2249496 is about 131.0272848786.

The spelling of 2249496 in words is "two million, two hundred forty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 199 314 398 471 597 628 796 942 1194 1256 1413 1592 1791 1884 2388 2826 3582 3768 4776 5652 7164 11304 14328 31243 62486 93729 124972 187458 249944 281187 374916 562374 749832 1124748 2249496