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2200210088940 = 22325109237147297
BaseRepresentation
bin100000000001000110101…
…111011010001111101100
321210100010102110011022100
4200001012233122033230
5242022012240321230
64402432414015100
7314650154116203
oct40010657321754
97710112404270
102200210088940
11779116265a06
122b64b9aa7490
1312c62c260a16
14786c281c23a
153c374b00660
hex20046bda3ec

2200210088940 has 144 divisors (see below), whose sum is σ = 6738182811360. Its totient is φ = 581082439680.

The previous prime is 2200210088939. The next prime is 2200210088971. The reversal of 2200210088940 is 498800120022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2200210088895 and 2200210088904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46495372 + ... + 46542668.

It is an arithmetic number, because the mean of its divisors is an integer number (46792936190).

Almost surely, 22200210088940 is an apocalyptic number.

2200210088940 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 2200210088940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369091405680).

2200210088940 is an abundant number, since it is smaller than the sum of its proper divisors (4537972722420).

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

2200210088940 is a wasteful number, since it uses less digits than its factorization.

2200210088940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49792 (or 49787 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2200210088940 in words is "two trillion, two hundred billion, two hundred ten million, eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 2371 3270 3924 4742 4905 6540 7113 9484 9810 11855 14226 19620 21339 23710 28452 35565 42678 47297 47420 71130 85356 94594 106695 141891 142260 189188 213390 236485 258439 283782 425673 426780 472970 516878 567564 709455 775317 851346 945940 1033756 1292195 1418910 1550634 1702692 2128365 2325951 2584390 2837820 3101268 3876585 4256730 4651902 5155373 5168780 7753170 8513460 9303804 10310746 11629755 15466119 15506340 20621492 23259510 25776865 30932238 46398357 46519020 51553730 61864476 77330595 92796714 103107460 112141187 154661190 185593428 224282374 231991785 309322380 336423561 448564748 463983570 560705935 672847122 927967140 1009270683 1121411870 1345694244 1682117805 2018541366 2242823740 3364235610 4037082732 5046353415 6728471220 10092706830 12223389383 20185413660 24446778766 36670168149 48893557532 61116946915 73340336298 110010504447 122233893830 146680672596 183350840745 220021008894 244467787660 366701681490 440042017788 550052522235 733403362980 1100105044470 2200210088940