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2248950 = 2352112947
BaseRepresentation
bin1000100101000011110110
311020020222110
420211003312
51033431300
6120111450
725054464
oct10450366
94206873
102248950
1112a6740
12905586
13609852
14427834
152e6550
hex2250f6

2248950 has 96 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 515200.

The previous prime is 2248931. The next prime is 2248951. The reversal of 2248950 is 598422.

It is a super-2 number, since 2×22489502 = 10115552205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248951) 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, 47827 + ... + 47873.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

22248950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2248950 is an abundant number, since it is smaller than the sum of its proper divisors (4179210).

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

2248950 is a wasteful number, since it uses less digits than its factorization.

2248950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2248950 is about 1499.6499591571. The cubic root of 2248950 is about 131.0166829947.

The spelling of 2248950 in words is "two million, two hundred forty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 47 50 55 58 66 75 87 94 110 141 145 150 165 174 235 275 282 290 319 330 435 470 517 550 638 705 725 825 870 957 1034 1175 1363 1410 1450 1551 1595 1650 1914 2175 2350 2585 2726 3102 3190 3525 4089 4350 4785 5170 6815 7050 7755 7975 8178 9570 12925 13630 14993 15510 15950 20445 23925 25850 29986 34075 38775 40890 44979 47850 68150 74965 77550 89958 102225 149930 204450 224895 374825 449790 749650 1124475 2248950