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22570240 = 285711229
BaseRepresentation
bin101011000011…
…0010100000000
31120110200112211
41112012110000
521234221430
62123431504
7362562310
oct126062400
946420484
1022570240
11118163a0
127685594
1348a3294
142dd7440
151eac72a
hex1586500

22570240 has 144 divisors (see below), whose sum is σ = 67697280. Its totient is φ = 7004160.

The previous prime is 22570211. The next prime is 22570253. The reversal of 22570240 is 4207522.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 98446 + ... + 98674.

It is an arithmetic number, because the mean of its divisors is an integer number (470120).

Almost surely, 222570240 is an apocalyptic number.

22570240 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 22570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33848640).

22570240 is an abundant number, since it is smaller than the sum of its proper divisors (45127040).

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

22570240 is a wasteful number, since it uses less digits than its factorization.

22570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 22570240 is about 4750.8146669808. The cubic root of 22570240 is about 282.6042740342.

Adding to 22570240 its reverse (4207522), we get a palindrome (26777762).

The spelling of 22570240 in words is "twenty-two million, five hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 229 256 280 308 320 352 385 440 448 458 560 616 640 704 770 880 896 916 1120 1145 1232 1280 1408 1540 1603 1760 1792 1832 2240 2290 2464 2519 2816 3080 3206 3520 3664 4480 4580 4928 5038 6160 6412 7040 7328 8015 8960 9160 9856 10076 12320 12595 12824 14080 14656 16030 17633 18320 19712 20152 24640 25190 25648 29312 32060 35266 36640 40304 49280 50380 51296 58624 64120 70532 73280 80608 88165 98560 100760 102592 128240 141064 146560 161216 176330 201520 205184 256480 282128 293120 322432 352660 403040 410368 512960 564256 644864 705320 806080 1025920 1128512 1410640 1612160 2051840 2257024 2821280 3224320 4514048 5642560 11285120 22570240