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22070720 = 265759167
BaseRepresentation
bin101010000110…
…0010111000000
31112112022100002
41110030113000
521122230340
62105015132
7355412060
oct124142700
945468302
1022070720
1111505071
1274844a8
134759ac9
142d073a0
151e0e715
hex150c5c0

22070720 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 7394304.

The previous prime is 22070717. The next prime is 22070753. The reversal of 22070720 is 2707022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22070692 and 22070701.

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, 132077 + ... + 132243.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 222070720 is an apocalyptic number.

22070720 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 22070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

22070720 is an abundant number, since it is smaller than the sum of its proper divisors (39376960).

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

22070720 is a wasteful number, since it uses less digits than its factorization.

22070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 22070720 is about 4697.9484884362. The cubic root of 22070720 is about 280.5038546840.

Adding to 22070720 its reverse (2707022), we get a palindrome (24777742).

The spelling of 22070720 in words is "twenty-two million, seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 140 160 167 224 236 280 295 320 334 413 448 472 560 590 668 826 835 944 1120 1169 1180 1336 1652 1670 1888 2065 2240 2338 2360 2672 3304 3340 3776 4130 4676 4720 5344 5845 6608 6680 8260 9352 9440 9853 10688 11690 13216 13360 16520 18704 18880 19706 23380 26432 26720 33040 37408 39412 46760 49265 53440 66080 68971 74816 78824 93520 98530 132160 137942 157648 187040 197060 275884 315296 344855 374080 394120 551768 630592 689710 788240 1103536 1379420 1576480 2207072 2758840 3152960 4414144 5517680 11035360 22070720