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22200110200120 = 2356721793801571
BaseRepresentation
bin1010000110000110111011…
…01011101011010100111000
32220121022100211221210021011
411003003131223223110320
510402211311202400440
6115114331223123304
74450622266121056
oct503033553532470
986538324853234
1022200110200120
11708a0174a7aa6
1225a6643ba3534
13c505cc93c738
1456a6c36b71d6
15287720d049ea
hex1430ddaeb538

22200110200120 has 64 divisors (see below), whose sum is σ = 50719052995200. Its totient is φ = 8743489349760.

The previous prime is 22200110200061. The next prime is 22200110200133. The reversal of 22200110200120 is 2100201100222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22200110200120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3938935 + ... + 7740505.

It is an arithmetic number, because the mean of its divisors is an integer number (792485203050).

Almost surely, 222200110200120 is an apocalyptic number.

22200110200120 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 22200110200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359526497600).

22200110200120 is an abundant number, since it is smaller than the sum of its proper divisors (28518942795080).

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

22200110200120 is a wasteful number, since it uses less digits than its factorization.

22200110200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803828 (or 3803824 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22200110200120 its reverse (2100201100222), we get a palindrome (24300311300342).

The spelling of 22200110200120 in words is "twenty-two trillion, two hundred billion, one hundred ten million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2179 2680 4358 8716 10895 17432 21790 43580 87160 145993 291986 583972 729965 1167944 1459930 2919860 3801571 5839720 7603142 15206284 19007855 30412568 38015710 76031420 152062840 254705257 509410514 1018821028 1273526285 2037642056 2547052570 5094105140 8283623209 10188210280 16567246418 33134492836 41418116045 66268985672 82836232090 165672464180 331344928360 555002755003 1110005510006 2220011020012 2775013775015 4440022040024 5550027550030 11100055100060 22200110200120