Search a number
-
+
2248896 = 263131753
BaseRepresentation
bin1000100101000011000000
311020020220110
420211003000
51033431041
6120111320
725054356
oct10450300
94206813
102248896
1112a66a1
12905540
13609810
144277d6
152e6516
hex2250c0

2248896 has 112 divisors (see below), whose sum is σ = 6912864. Its totient is φ = 638976.

The previous prime is 2248867. The next prime is 2248901. The reversal of 2248896 is 6988422.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42406 + ... + 42458.

It is an arithmetic number, because the mean of its divisors is an integer number (61722).

22248896 is an apocalyptic number.

2248896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456432).

2248896 is an abundant number, since it is smaller than the sum of its proper divisors (4663968).

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

2248896 is a wasteful number, since it uses less digits than its factorization.

2248896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2248896 is about 1499.6319548476. The cubic root of 2248896 is about 131.0156343635.

The spelling of 2248896 in words is "two million, two hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 53 64 68 78 96 102 104 106 136 156 159 192 204 208 212 221 272 312 318 408 416 424 442 544 624 636 663 689 816 832 848 884 901 1088 1248 1272 1326 1378 1632 1696 1768 1802 2067 2496 2544 2652 2703 2756 3264 3392 3536 3604 4134 5088 5304 5406 5512 7072 7208 8268 10176 10608 10812 11024 11713 14144 14416 16536 21216 21624 22048 23426 28832 33072 35139 42432 43248 44096 46852 57664 66144 70278 86496 93704 132288 140556 172992 187408 281112 374816 562224 749632 1124448 2248896