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1000223200200 = 233527238148381
BaseRepresentation
bin11101000111000011111…
…00101101001111001000
310112121202021102011121010
432203201330231033020
5112341424114401300
62043255102243520
7132156314631330
oct16434174551710
93477667364533
101000223200200
11356212a14574
12141a248865a0
13734225b6a73
14365a7d480c0
151b041154a50
hexe8e1f2d3c8

1000223200200 has 96 divisors (see below), whose sum is σ = 3543647924160. Its totient is φ = 228622444800.

The previous prime is 1000223200199. The next prime is 1000223200201. The reversal of 1000223200200 is 20023220001.

It is an interprime number because it is at equal distance from previous prime (1000223200199) and next prime (1000223200201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1000223200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119069991 + ... + 119078390.

It is an arithmetic number, because the mean of its divisors is an integer number (36912999210).

Almost surely, 21000223200200 is an apocalyptic number.

1000223200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000223200200 is an abundant number, since it is smaller than the sum of its proper divisors (2543424723960).

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

1000223200200 is a wasteful number, since it uses less digits than its factorization.

1000223200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238148407 (or 238148398 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 1000223200200 its reverse (20023220001), we get a palindrome (1020246420201).

The spelling of 1000223200200 in words is "one trillion, two hundred twenty-three million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 238148381 476296762 714445143 952593524 1190741905 1428890286 1667038667 1905187048 2381483810 2857780572 3334077334 3572225715 4762967620 5001116001 5715561144 5953709525 6668154668 7144451430 8335193335 9525935240 10002232002 11907419050 13336309336 14288902860 16670386670 17861128575 20004464004 23814838100 25005580005 28577805720 33340773340 35722257150 40008928008 41675966675 47629676200 50011160010 66681546680 71444514300 83351933350 100022320020 125027900025 142889028600 166703866700 200044640040 250055800050 333407733400 500111600100 1000223200200