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2212432040 = 2357132920959
BaseRepresentation
bin1000001111011111…
…0000100010101000
312201012002012012102
42003313300202220
514012340311130
61003312032532
7105553235120
oct20367604250
95635065172
102212432040
11a35950a35
12518b32748
132934951b0
1416db95c80
15ce375645
hex83df08a8

2212432040 has 128 divisors (see below), whose sum is σ = 6338304000. Its totient is φ = 676021248.

The previous prime is 2212431989. The next prime is 2212432063. The reversal of 2212432040 is 402342122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95081 + ... + 116039.

It is an arithmetic number, because the mean of its divisors is an integer number (49518000).

Almost surely, 22212432040 is an apocalyptic number.

2212432040 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 2212432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169152000).

2212432040 is an abundant number, since it is smaller than the sum of its proper divisors (4125871960).

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

2212432040 is a wasteful number, since it uses less digits than its factorization.

2212432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21019 (or 21015 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2212432040 is about 47036.4968933699. The cubic root of 2212432040 is about 1303.0366958702.

Adding to 2212432040 its reverse (402342122), we get a palindrome (2614774162).

The spelling of 2212432040 in words is "two billion, two hundred twelve million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 29 35 40 52 56 58 65 70 91 104 116 130 140 145 182 203 232 260 280 290 364 377 406 455 520 580 728 754 812 910 1015 1160 1508 1624 1820 1885 2030 2639 3016 3640 3770 4060 5278 7540 8120 10556 13195 15080 20959 21112 26390 41918 52780 83836 104795 105560 146713 167672 209590 272467 293426 419180 544934 586852 607811 733565 838360 1089868 1173704 1215622 1362335 1467130 1907269 2179736 2431244 2724670 2934260 3039055 3814538 4254677 4862488 5449340 5868520 6078110 7629076 7901543 8509354 9536345 10898680 12156220 15258152 15803086 17018708 19072690 21273385 24312440 31606172 34037416 38145380 39507715 42546770 55310801 63212344 76290760 79015430 85093540 110621602 158030860 170187080 221243204 276554005 316061720 442486408 553108010 1106216020 2212432040