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2202666640040 = 235192877173933
BaseRepresentation
bin100000000011011001001…
…010011010001010101000
321210120110121212212220102
4200003121022122022220
5242042030124440130
64403520250244532
7315065063343566
oct40033112321250
97716417785812
102202666640040
1177a166993129
122b6a84726748
1312c931189859
1478876b9ca36
153c46a5e7645
hex200d929a2a8

2202666640040 has 96 divisors (see below), whose sum is σ = 5236564843080. Its totient is φ = 833738171904.

The previous prime is 2202666639989. The next prime is 2202666640061. The reversal of 2202666640040 is 400466662022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2201620893796 + 1045746244 = 1483786^2 + 32338^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2202666639976 and 2202666640003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12576914 + ... + 12750846.

Almost surely, 22202666640040 is an apocalyptic number.

2202666640040 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 2202666640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618282421540).

2202666640040 is an abundant number, since it is smaller than the sum of its proper divisors (3033898203040).

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

2202666640040 is a wasteful number, since it uses less digits than its factorization.

2202666640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174859 (or 174836 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 2202666640040 in words is "two trillion, two hundred two billion, six hundred sixty-six million, six hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 877 1444 1754 1805 2888 3508 3610 4385 7016 7220 8770 14440 16663 17540 33326 35080 66652 83315 133304 166630 173933 316597 333260 347866 633194 666520 695732 869665 1266388 1391464 1582985 1739330 2532776 3165970 3304727 3478660 6331940 6609454 6957320 12663880 13218908 16523635 26437816 33047270 62789813 66094540 125579626 132189080 152539241 251159252 305078482 313949065 502318504 610156964 627898130 762696205 1220313928 1255796260 1525392410 2511592520 2898245579 3050784820 5796491158 6101569640 11592982316 14491227895 23185964632 28982455790 55066666001 57964911580 110133332002 115929823160 220266664004 275333330005 440533328008 550666660010 1101333320020 2202666640040