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2230448 = 2411192329
BaseRepresentation
bin1000100000100010110000
311012022121012
420200202300
51032333243
6115450052
724646523
oct10404260
94168535
102230448
111293850
128b6928
136012bc
14420bba
152e0d18
hex2208b0

2230448 has 80 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 887040.

The previous prime is 2230439. The next prime is 2230457. The reversal of 2230448 is 8440322.

It is an interprime number because it is at equal distance from previous prime (2230439) and next prime (2230457).

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 76898 + ... + 76926.

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

22230448 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 2230448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2230448 is an abundant number, since it is smaller than the sum of its proper divisors (3126352).

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

2230448 is a wasteful number, since it uses less digits than its factorization.

2230448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2230448 is about 1493.4684462686. The cubic root of 2230448 is about 130.6564039327.

The spelling of 2230448 in words is "two million, two hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 19 22 23 29 38 44 46 58 76 88 92 116 152 176 184 209 232 253 304 319 368 418 437 464 506 551 638 667 836 874 1012 1102 1276 1334 1672 1748 2024 2204 2552 2668 3344 3496 4048 4408 4807 5104 5336 6061 6992 7337 8816 9614 10672 12122 12673 14674 19228 24244 25346 29348 38456 48488 50692 58696 76912 96976 101384 117392 139403 202768 278806 557612 1115224 2230448