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2202140340 = 22325411791667
BaseRepresentation
bin1000001101000001…
…1111111010110100
312200110201022122100
42003100133322310
514002221442330
61002303302100
7105366612141
oct20320377264
95613638570
102202140340
11a300616a4
125155aa930
1329130092a
1416c6773c8
15cd4e1060
hex8341feb4

2202140340 has 144 divisors (see below), whose sum is σ = 6885103680. Its totient is φ = 569372160.

The previous prime is 2202140293. The next prime is 2202140351. The reversal of 2202140340 is 430412022.

2202140340 is a `hidden beast` number, since 220 + 2 + 1 + 403 + 40 = 666.

2202140340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320187 + ... + 1321853.

It is an arithmetic number, because the mean of its divisors is an integer number (47813220).

Almost surely, 22202140340 is an apocalyptic number.

2202140340 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 2202140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442551840).

2202140340 is an abundant number, since it is smaller than the sum of its proper divisors (4682963340).

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

2202140340 is a wasteful number, since it uses less digits than its factorization.

2202140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2202140340 is about 46926.9681526518. The cubic root of 2202140340 is about 1301.0130840704.

Adding to 2202140340 its reverse (430412022), we get a palindrome (2632552362).

The spelling of 2202140340 in words is "two billion, two hundred two million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 179 180 205 246 358 369 410 492 537 615 716 738 820 895 1074 1230 1476 1611 1667 1790 1845 2148 2460 2685 3222 3334 3580 3690 5001 5370 6444 6668 7339 7380 8055 8335 10002 10740 14678 15003 16110 16670 20004 22017 25005 29356 30006 32220 33340 36695 44034 50010 60012 66051 68347 73390 75015 88068 100020 110085 132102 136694 146780 150030 205041 220170 264204 273388 298393 300060 330255 341735 410082 440340 596786 615123 660510 683470 820164 895179 1025205 1193572 1230246 1321020 1366940 1491965 1790358 2050410 2460492 2685537 2983930 3075615 3580716 4100820 4475895 5371074 5967860 6151230 8951790 10742148 12234113 12302460 13427685 17903580 24468226 26855370 36702339 48936452 53710740 61170565 73404678 110107017 122341130 146809356 183511695 220214034 244682260 367023390 440428068 550535085 734046780 1101070170 2202140340