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1224233030200 = 235241401372311
BaseRepresentation
bin10001110100001001111…
…110011001001000111000
311100000221220102121000111
4101310021332121020320
5130024212123431300
62334223242314104
7154306431026605
oct21641176311070
94300856377014
101224233030200
114322156a2384
121793211b8934
138b5a1c6462b
1443378aa36ac
1521ca23ac9ba
hex11d09f99238

1224233030200 has 96 divisors (see below), whose sum is σ = 2923043850720. Its totient is φ = 476556800000.

The previous prime is 1224233030197. The next prime is 1224233030213. The reversal of 1224233030200 is 20303324221.

It is a super-2 number, since 2×12242330302002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3102045 + ... + 3474355.

It is an arithmetic number, because the mean of its divisors is an integer number (30448373445).

Almost surely, 21224233030200 is an apocalyptic number.

1224233030200 is a gapful number since it is divisible by the number (10) 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 1224233030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461521925360).

1224233030200 is an abundant number, since it is smaller than the sum of its proper divisors (1698810820520).

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

1224233030200 is a wasteful number, since it uses less digits than its factorization.

1224233030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372769 (or 372760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1224233030200 its reverse (20303324221), we get a palindrome (1244536354421).

The spelling of 1224233030200 in words is "one trillion, two hundred twenty-four billion, two hundred thirty-three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 401 410 802 820 1025 1604 1640 2005 2050 3208 4010 4100 8020 8200 10025 16040 16441 20050 32882 40100 65764 80200 82205 131528 164410 328820 372311 411025 657640 744622 822050 1489244 1644100 1861555 2978488 3288200 3723110 7446220 9307775 14892440 15264751 18615550 30529502 37231100 61059004 74462200 76323755 122118008 149296711 152647510 298593422 305295020 381618775 597186844 610590040 746483555 763237550 1194373688 1492967110 1526475100 2985934220 3052950200 3732417775 5971868440 6121165151 7464835550 12242330302 14929671100 24484660604 29859342200 30605825755 48969321208 61211651510 122423303020 153029128775 244846606040 306058257550 612116515100 1224233030200