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22002111212200 = 2352722245113389
BaseRepresentation
bin1010000000010110001000…
…00001011110101010101000
32212220101021221221001022021
411000023010001132222220
510340440310432242300
6114443344053434224
74430412553362400
oct500130401365250
985811257831267
1022002111212200
117013052204899
1225741a663b974
13c37a370604a2
14560c9d275800
152824d3392d1a
hex1402c405eaa8

22002111212200 has 72 divisors (see below), whose sum is σ = 59506730401950. Its totient is φ = 7543580983680.

The previous prime is 22002111212167. The next prime is 22002111212209. The reversal of 22002111212200 is 221211120022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14452816442596 + 7549294769604 = 3801686^2 + 2747598^2 .

It is not an unprimeable number, because it can be changed into a prime (22002111212209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1122546895 + ... + 1122566494.

Almost surely, 222002111212200 is an apocalyptic number.

22002111212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002111212200 is an abundant number, since it is smaller than the sum of its proper divisors (37504619189750).

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

22002111212200 is a wasteful number, since it uses less digits than its factorization.

22002111212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245113419 (or 2245113403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22002111212200 its reverse (221211120022), we get a palindrome (22223322332222).

The spelling of 22002111212200 in words is "twenty-two trillion, two billion, one hundred eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 2245113389 4490226778 8980453556 11225566945 15715793723 17960907112 22451133890 31431587446 44902267780 56127834725 62863174892 78578968615 89804535560 110010556061 112255669450 125726349784 157157937230 220021112122 224511338900 314315874460 392894843075 440042224244 449022677800 550052780305 628631748920 785789686150 880084448488 1100105560610 1571579372300 2200211121220 2750263901525 3143158744600 4400422242440 5500527803050 11001055606100 22002111212200