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2422080 = 26325292
BaseRepresentation
bin1001001111010101000000
311120001110200
421033111000
51110001310
6123525200
726405313
oct11172500
94501420
102422080
111404821
12989800
1366a5ab
1447097a
1532c9c0
hex24f540

2422080 has 126 divisors (see below), whose sum is σ = 8628126. Its totient is φ = 623616.

The previous prime is 2422073. The next prime is 2422087. The reversal of 2422080 is 802242.

It is an interprime number because it is at equal distance from previous prime (2422073) and next prime (2422087).

It can be written as a sum of positive squares in 3 ways, for example, as 278784 + 2143296 = 528^2 + 1464^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422087) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83506 + ... + 83534.

22422080 is an apocalyptic number.

2422080 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 2422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314063).

2422080 is an abundant number, since it is smaller than the sum of its proper divisors (6206046).

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

2422080 is a wasteful number, since it uses less digits than its factorization.

2422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 39 counting only the distinct ones).

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

The square root of 2422080 is about 1556.3033123399. The cubic root of 2422080 is about 134.2959228265.

The spelling of 2422080 in words is "two million, four hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 64 72 80 87 90 96 116 120 144 145 160 174 180 192 232 240 261 288 290 320 348 360 435 464 480 522 576 580 696 720 841 870 928 960 1044 1160 1305 1392 1440 1682 1740 1856 2088 2320 2523 2610 2784 2880 3364 3480 4176 4205 4640 5046 5220 5568 6728 6960 7569 8352 8410 9280 10092 10440 12615 13456 13920 15138 16704 16820 20184 20880 25230 26912 27840 30276 33640 37845 40368 41760 50460 53824 60552 67280 75690 80736 83520 100920 121104 134560 151380 161472 201840 242208 269120 302760 403680 484416 605520 807360 1211040 2422080