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2208480 = 253543107
BaseRepresentation
bin1000011011001011100000
311011012110120
420123023200
51031132410
6115200240
724525501
oct10331340
94135416
102208480
11127929a
128a6080
135c42c1
14416ba8
152d9570
hex21b2e0

2208480 has 96 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 569856.

The previous prime is 2208473. The next prime is 2208491. The reversal of 2208480 is 848022.

It is a tau number, because it is divible by the number of its divisors (96).

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 2208480.

It is a congruent number.

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, 20587 + ... + 20693.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

22208480 is an apocalyptic number.

2208480 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 2208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

2208480 is an abundant number, since it is smaller than the sum of its proper divisors (4976544).

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

2208480 is a wasteful number, since it uses less digits than its factorization.

2208480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2208480 is about 1486.0955554741. The cubic root of 2208480 is about 130.2260367325.

The spelling of 2208480 in words is "two million, two hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 107 120 129 160 172 214 215 240 258 321 344 428 430 480 516 535 642 645 688 856 860 1032 1070 1284 1290 1376 1605 1712 1720 2064 2140 2568 2580 3210 3424 3440 4128 4280 4601 5136 5160 6420 6880 8560 9202 10272 10320 12840 13803 17120 18404 20640 23005 25680 27606 36808 46010 51360 55212 69015 73616 92020 110424 138030 147232 184040 220848 276060 368080 441696 552120 736160 1104240 2208480