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2822040 = 233451367
BaseRepresentation
bin1010110000111110011000
312022101010000
422300332120
51210301130
6140253000
732662344
oct12607630
95271100
102822040
111658271
12b41160
1377a660
14536624
153ab260
hex2b0f98

2822040 has 160 divisors (see below), whose sum is σ = 10367280. Its totient is φ = 684288.

The previous prime is 2822033. The next prime is 2822069. The reversal of 2822040 is 402282.

2822040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42087 + ... + 42153.

22822040 is an apocalyptic number.

2822040 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 2822040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183640).

2822040 is an abundant number, since it is smaller than the sum of its proper divisors (7545240).

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

2822040 is a wasteful number, since it uses less digits than its factorization.

2822040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2822040 is about 1679.8928537261. The cubic root of 2822040 is about 141.3148239279.

The spelling of 2822040 in words is "two million, eight hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 67 72 78 81 90 104 108 117 120 130 134 135 156 162 180 195 201 216 234 260 268 270 312 324 335 351 360 390 402 405 468 520 536 540 585 603 648 670 702 780 804 810 871 936 1005 1053 1080 1170 1206 1340 1404 1560 1608 1620 1742 1755 1809 2010 2106 2340 2412 2613 2680 2808 3015 3240 3484 3510 3618 4020 4212 4355 4680 4824 5226 5265 5427 6030 6968 7020 7236 7839 8040 8424 8710 9045 10452 10530 10854 12060 13065 14040 14472 15678 17420 18090 20904 21060 21708 23517 24120 26130 27135 31356 34840 36180 39195 42120 43416 47034 52260 54270 62712 70551 72360 78390 94068 104520 108540 117585 141102 156780 188136 217080 235170 282204 313560 352755 470340 564408 705510 940680 1411020 2822040