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2226480 = 24359277
BaseRepresentation
bin1000011111100100110000
311012010011020
420133210300
51032221410
6115415440
724632124
oct10374460
94163136
102226480
111290873
128b4580
135cc559
1441d584
152dea70
hex21f930

2226480 has 40 divisors (see below), whose sum is σ = 6902832. Its totient is φ = 593664.

The previous prime is 2226479. The next prime is 2226493. The reversal of 2226480 is 846222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2226480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4399 + ... + 4878.

22226480 is an apocalyptic number.

2226480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226480 is an abundant number, since it is smaller than the sum of its proper divisors (4676352).

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

2226480 is a wasteful number, since it uses less digits than its factorization.

2226480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9293 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2226480 is about 1492.1394036751. The cubic root of 2226480 is about 130.5788780493.

The spelling of 2226480 in words is "two million, two hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9277 18554 27831 37108 46385 55662 74216 92770 111324 139155 148432 185540 222648 278310 371080 445296 556620 742160 1113240 2226480