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234212200000 = 26551171061
BaseRepresentation
bin1101101000100000100…
…0101000111001000000
3211101112122120111222221
43122020020220321000
512314131310400000
6255332352140424
722630665565222
oct3321010507100
9741478514887
10234212200000
1190368754459
1239485237714
1319117271cbc
14b49bb1a412
15615bc8c61a
hex3688228e40

234212200000 has 84 divisors (see below), whose sum is σ = 580919357844. Its totient is φ = 93684800000.

The previous prime is 234212199997. The next prime is 234212200031. The reversal of 234212200000 is 2212432.

It can be written as a sum of positive squares in 6 ways, for example, as 119041560576 + 115170639424 = 345024^2 + 339368^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385531 + ... + 785530.

It is an arithmetic number, because the mean of its divisors is an integer number (6915706641).

Almost surely, 2234212200000 is an apocalyptic number.

234212200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234212200000 is an abundant number, since it is smaller than the sum of its proper divisors (346707157844).

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

234212200000 is an frugal number, since it uses more digits than its factorization.

234212200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171098 (or 1171068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 234212200000 its reverse (2212432), we get a palindrome (234214412432).

The spelling of 234212200000 in words is "two hundred thirty-four billion, two hundred twelve million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 100000 200000 1171061 2342122 4684244 5855305 9368488 11710610 18736976 23421220 29276525 37473952 46842440 58553050 74947904 93684880 117106100 146382625 187369760 234212200 292765250 374739520 468424400 585530500 731913125 936848800 1171061000 1463826250 1873697600 2342122000 2927652500 3659565625 4684244000 5855305000 7319131250 9368488000 11710610000 14638262500 23421220000 29276525000 46842440000 58553050000 117106100000 234212200000