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2248480 = 255132347
BaseRepresentation
bin1000100100111100100000
311020020100001
420210330200
51033422410
6120105344
725053223
oct10447440
94206301
102248480
1112a6353
12905254
13609580
144275ba
152e633a
hex224f20

2248480 has 96 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 777216.

The previous prime is 2248469. The next prime is 2248489. The reversal of 2248480 is 848422.

2248480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2248489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47817 + ... + 47863.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

22248480 is an apocalyptic number.

2248480 is a gapful number since it is divisible by the number (20) 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 2248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2248480 is an abundant number, since it is smaller than the sum of its proper divisors (3847904).

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

2248480 is a wasteful number, since it uses less digits than its factorization.

2248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2248480 is about 1499.4932477340. The cubic root of 2248480 is about 131.0075554565.

The spelling of 2248480 in words is "two million, two hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 47 52 65 80 92 94 104 115 130 160 184 188 208 230 235 260 299 368 376 416 460 470 520 598 611 736 752 920 940 1040 1081 1196 1222 1495 1504 1840 1880 2080 2162 2392 2444 2990 3055 3680 3760 4324 4784 4888 5405 5980 6110 7520 8648 9568 9776 10810 11960 12220 14053 17296 19552 21620 23920 24440 28106 34592 43240 47840 48880 56212 70265 86480 97760 112424 140530 172960 224848 281060 449696 562120 1124240 2248480