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2248848 = 243272397
BaseRepresentation
bin1000100101000010010000
311020020211200
420211002100
51033430343
6120111200
725054260
oct10450220
94206750
102248848
1112a6658
12905500
136097a4
144277a0
152e64d3
hex225090

2248848 has 120 divisors (see below), whose sum is σ = 7582848. Its totient is φ = 608256.

The previous prime is 2248847. The next prime is 2248849. The reversal of 2248848 is 8488422.

It is an interprime number because it is at equal distance from previous prime (2248847) and next prime (2248849).

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 d-powerful number, because it can be written as 217 + 221 + 42 + 82 + 82 + 47 + 84 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23136 + ... + 23232.

22248848 is an apocalyptic number.

2248848 is a gapful number since it is divisible by the number (28) 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 2248848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791424).

2248848 is an abundant number, since it is smaller than the sum of its proper divisors (5334000).

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

2248848 is a wasteful number, since it uses less digits than its factorization.

2248848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 2248848 is about 1499.6159508354. The cubic root of 2248848 is about 131.0147022327.

The spelling of 2248848 in words is "two million, two hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 97 112 126 138 144 161 168 184 194 207 252 276 291 322 336 368 388 414 483 504 552 582 644 679 776 828 873 966 1008 1104 1164 1288 1358 1449 1552 1656 1746 1932 2037 2231 2328 2576 2716 2898 3312 3492 3864 4074 4462 4656 5432 5796 6111 6693 6984 7728 8148 8924 10864 11592 12222 13386 13968 15617 16296 17848 20079 23184 24444 26772 31234 32592 35696 40158 46851 48888 53544 62468 80316 93702 97776 107088 124936 140553 160632 187404 249872 281106 321264 374808 562212 749616 1124424 2248848