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2200200200440 = 2351123823264169
BaseRepresentation
bin100000000001000110001…
…001101100000011111000
321210100002201211202211121
4200001012021230003320
5242022002222403230
64402431422035024
7314650004062564
oct40010611540370
97710081752747
102200200200440
117791107215a0
122b64b6718a74
1312c62a1aab38
14786c13a66a4
153c373cea77a
hex2004626c0f8

2200200200440 has 128 divisors (see below), whose sum is σ = 5642163993600. Its totient is φ = 764354257920.

The previous prime is 2200200200399. The next prime is 2200200200453. The reversal of 2200200200440 is 440020020022.

It is a congruent number.

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, 8196676 + ... + 8460844.

It is an arithmetic number, because the mean of its divisors is an integer number (44079406200).

Almost surely, 22200200200440 is an apocalyptic number.

2200200200440 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 2200200200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821081996800).

2200200200440 is an abundant number, since it is smaller than the sum of its proper divisors (3441963793160).

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

2200200200440 is a wasteful number, since it uses less digits than its factorization.

2200200200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265037 (or 265033 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2200200200440 its reverse (440020020022), we get a palindrome (2640220220462).

The spelling of 2200200200440 in words is "two trillion, two hundred billion, two hundred million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 823 920 1012 1265 1646 2024 2530 3292 4115 5060 6584 8230 9053 10120 16460 18106 18929 32920 36212 37858 45265 72424 75716 90530 94645 151432 181060 189290 208219 264169 362120 378580 416438 528338 757160 832876 1041095 1056676 1320845 1665752 2082190 2113352 2641690 2905859 4164380 5283380 5811718 6075887 8328760 10566760 11623436 12151774 14529295 23246872 24303548 29058590 30379435 48607096 58117180 60758870 66834757 116234360 121517740 133669514 217411087 243035480 267339028 334173785 434822174 534678056 668347570 869644348 1087055435 1336695140 1739288696 2174110870 2391521957 2673390280 4348221740 4783043914 5000455001 8696443480 9566087828 10000910002 11957609785 19132175656 20001820004 23915219570 25002275005 40003640008 47830439140 50004550010 55005005011 95660878280 100009100020 110010010022 200018200040 220020020044 275025025055 440040040088 550050050110 1100100100220 2200200200440