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2244480 = 27357167
BaseRepresentation
bin1000100011111110000000
311020000211220
420203332000
51033310410
6120035040
725035450
oct10437600
94200756
102244480
1112a3347
12902a80
136077c4
14425d60
152e5070
hex223f80

2244480 has 128 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 509952.

The previous prime is 2244479. The next prime is 2244499. The reversal of 2244480 is 844422.

It is a tau number, because it is divible by the number of its divisors (128).

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 2244480.

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, 13357 + ... + 13523.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

22244480 is an apocalyptic number.

2244480 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 2244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2244480 is an abundant number, since it is smaller than the sum of its proper divisors (5980800).

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

2244480 is a wasteful number, since it uses less digits than its factorization.

2244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2244480 is about 1498.1588700802. The cubic root of 2244480 is about 130.9298227547.

The spelling of 2244480 in words is "two million, two hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 167 168 192 210 224 240 280 320 334 336 384 420 448 480 501 560 640 668 672 835 840 896 960 1002 1120 1169 1336 1344 1670 1680 1920 2004 2240 2338 2505 2672 2688 3340 3360 3507 4008 4480 4676 5010 5344 5845 6680 6720 7014 8016 9352 10020 10688 11690 13360 13440 14028 16032 17535 18704 20040 21376 23380 26720 28056 32064 35070 37408 40080 46760 53440 56112 64128 70140 74816 80160 93520 106880 112224 140280 149632 160320 187040 224448 280560 320640 374080 448896 561120 748160 1122240 2244480