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2022230240 = 255175211427
BaseRepresentation
bin111100010001000…
…1100100011100000
312012221011221101022
41320202030203200
513120142331430
6532355225012
7101053446662
oct17042144340
95187157338
102022230240
11948550568
124852a8168
13262c5b954
14152804532
15bc8044e5
hex7888c8e0

2022230240 has 96 divisors (see below), whose sum is σ = 5071810464. Its totient is φ = 759316480.

The previous prime is 2022230237. The next prime is 2022230279. The reversal of 2022230240 is 420322202.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 1416407 + ... + 1417833.

It is an arithmetic number, because the mean of its divisors is an integer number (52831359).

Almost surely, 22022230240 is an apocalyptic number.

2022230240 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 2022230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535905232).

2022230240 is an abundant number, since it is smaller than the sum of its proper divisors (3049580224).

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

2022230240 is a wasteful number, since it uses less digits than its factorization.

2022230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2022230240 is about 44969.2143582696. The cubic root of 2022230240 is about 1264.5719184553.

Adding to 2022230240 its reverse (420322202), we get a palindrome (2442552442).

The spelling of 2022230240 in words is "two billion, twenty-two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 521 544 680 1042 1360 1427 2084 2605 2720 2854 4168 5210 5708 7135 8336 8857 10420 11416 14270 16672 17714 20840 22832 24259 28540 35428 41680 44285 45664 48518 57080 70856 83360 88570 97036 114160 121295 141712 177140 194072 228320 242590 283424 354280 388144 485180 708560 743467 776288 970360 1417120 1486934 1940720 2973868 3717335 3881440 5947736 7434670 11895472 12638939 14869340 23790944 25277878 29738680 50555756 59477360 63194695 101111512 118954720 126389390 202223024 252778780 404446048 505557560 1011115120 2022230240