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2022000240 = 2435133072111
BaseRepresentation
bin111100010000101…
…0100011001110000
312012220202020212210
41320201110121300
513120113001430
6532350252120
7101051501301
oct17041243160
95186666783
102022000240
11948403787
124851b7040
13262bab060
141527847a8
15bc7ab2b0
hex78854670

2022000240 has 160 divisors (see below), whose sum is σ = 6775566336. Its totient is φ = 495866880.

The previous prime is 2022000229. The next prime is 2022000251. The reversal of 2022000240 is 420002202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2022000229) and next prime (2022000251).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956785 + ... + 958895.

Almost surely, 22022000240 is an apocalyptic number.

2022000240 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 2022000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387783168).

2022000240 is an abundant number, since it is smaller than the sum of its proper divisors (4753566096).

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

2022000240 is a wasteful number, since it uses less digits than its factorization.

2022000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2022000240 is about 44966.6569804783. The cubic root of 2022000240 is about 1264.5239742659.

Adding to 2022000240 its reverse (420002202), we get a palindrome (2442002442).

The spelling of 2022000240 in words is "two billion, twenty-two million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 307 312 390 520 614 624 780 921 1040 1228 1535 1560 1842 2111 2456 3070 3120 3684 3991 4222 4605 4912 6140 6333 7368 7982 8444 9210 10555 11973 12280 12666 14736 15964 16888 18420 19955 21110 23946 24560 25332 27443 31665 31928 33776 36840 39910 42220 47892 50664 54886 59865 63330 63856 73680 79820 82329 84440 95784 101328 109772 119730 126660 137215 159640 164658 168880 191568 219544 239460 253320 274430 319280 329316 411645 439088 478920 506640 548860 648077 658632 823290 957840 1097720 1296154 1317264 1646580 1944231 2195440 2592308 3240385 3293160 3888462 5184616 6480770 6586320 7776924 8425001 9721155 10369232 12961540 15553848 16850002 19442310 25275003 25923080 31107696 33700004 38884620 42125005 50550006 51846160 67400008 77769240 84250010 101100012 126375015 134800016 155538480 168500020 202200024 252750030 337000040 404400048 505500060 674000080 1011000120 2022000240