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214103200200 = 23352596048113
BaseRepresentation
bin1100011101100110001…
…0111001000111001000
3202110122012221111010120
43013121202321013020
512001440404401300
6242205130343240
721316451113521
oct3073142710710
9673565844116
10214103200200
118288974725a
12355b288ab20
1317261122356
14a51117d848
1558816903a0
hex31d98b91c8

214103200200 has 96 divisors (see below), whose sum is σ = 674969522400. Its totient is φ = 56126479360.

The previous prime is 214103200169. The next prime is 214103200211. The reversal of 214103200200 is 2002301412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214103200200.

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, 2988657 + ... + 3059456.

It is an arithmetic number, because the mean of its divisors is an integer number (7030932525).

Almost surely, 2214103200200 is an apocalyptic number.

214103200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214103200200 is an abundant number, since it is smaller than the sum of its proper divisors (460866322200).

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

214103200200 is a wasteful number, since it uses less digits than its factorization.

214103200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048191 (or 6048182 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 214103200200 its reverse (2002301412), we get a palindrome (216105501612).

The spelling of 214103200200 in words is "two hundred fourteen billion, one hundred three million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 150 177 200 236 295 300 354 472 590 600 708 885 1180 1416 1475 1770 2360 2950 3540 4425 5900 7080 8850 11800 17700 35400 6048113 12096226 18144339 24192452 30240565 36288678 48384904 60481130 72577356 90721695 120962260 145154712 151202825 181443390 241924520 302405650 356838667 362886780 453608475 604811300 713677334 725773560 907216950 1070516001 1209622600 1427354668 1784193335 1814433900 2141032002 2854709336 3568386670 3628867800 4282064004 5352580005 7136773340 8564128008 8920966675 10705160010 14273546680 17841933350 21410320020 26762900025 35683866700 42820640040 53525800050 71367733400 107051600100 214103200200