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8022240 = 25345619
BaseRepresentation
bin11110100110100011100000
3120002120110000
4132212203200
54023202430
6443540000
7125121312
oct36464340
916076400
108022240
11458a256
12282a600
13187b5b5
1410cb7b2
15a86e60
hex7a68e0

8022240 has 120 divisors (see below), whose sum is σ = 28357560. Its totient is φ = 2135808.

The previous prime is 8022227. The next prime is 8022247. The reversal of 8022240 is 422208.

It is a tau number, because it is divible by the number of its divisors (120).

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 (8022247) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12651 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (236313).

Almost surely, 28022240 is an apocalyptic number.

8022240 is a gapful number since it is divisible by the number (80) 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 8022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178780).

8022240 is an abundant number, since it is smaller than the sum of its proper divisors (20335320).

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

8022240 is a wasteful number, since it uses less digits than its factorization.

8022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

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

The square root of 8022240 is about 2832.3559098390. The cubic root of 8022240 is about 200.1851618559.

Adding to 8022240 its reverse (422208), we get a palindrome (8444448).

The spelling of 8022240 in words is "eight million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 619 648 720 810 864 1080 1238 1296 1440 1620 1857 2160 2476 2592 3095 3240 3714 4320 4952 5571 6190 6480 7428 9285 9904 11142 12380 12960 14856 16713 18570 19808 22284 24760 27855 29712 33426 37140 44568 49520 50139 55710 59424 66852 74280 83565 89136 99040 100278 111420 133704 148560 167130 178272 200556 222840 250695 267408 297120 334260 401112 445680 501390 534816 668520 802224 891360 1002780 1337040 1604448 2005560 2674080 4011120 8022240