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220210212312 = 233214920526679
BaseRepresentation
bin1100110100010110001…
…1010010110111011000
3210001101211100211211100
43031011203102313120
512101442303243222
6245055125031400
721624004630536
oct3150543226730
9701354324740
10220210212312
1185432a18902
1236817b55560
13179c541849c
14a930287156
155adc8b54ac
hex33458d2dd8

220210212312 has 48 divisors (see below), whose sum is σ = 600405390000. Its totient is φ = 72910760256.

The previous prime is 220210212301. The next prime is 220210212331. The reversal of 220210212312 is 213212012022.

220210212312 is a `hidden beast` number, since 220 + 210 + 2 + 1 + 231 + 2 = 666.

220210212312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202102123122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 10252612 + ... + 10274067.

It is an arithmetic number, because the mean of its divisors is an integer number (12508445625).

Almost surely, 2220210212312 is an apocalyptic number.

It is an amenable number.

220210212312 is an abundant number, since it is smaller than the sum of its proper divisors (380195177688).

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

220210212312 is a wasteful number, since it uses less digits than its factorization.

220210212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20526840 (or 20526833 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220210212312 its reverse (213212012022), we get a palindrome (433422224334).

The spelling of 220210212312 in words is "two hundred twenty billion, two hundred ten million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 10728 20526679 41053358 61580037 82106716 123160074 164213432 184740111 246320148 369480222 492640296 738960444 1477920888 3058475171 6116950342 9175425513 12233900684 18350851026 24467801368 27526276539 36701702052 55052553078 73403404104 110105106156 220210212312