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212351035224 = 233431414314549
BaseRepresentation
bin1100010111000100011…
…0111010011101011000
3202022010002221021122110
43011301012322131120
511434343331111344
6241315215352320
721225154006026
oct3056106723530
9668102837573
10212351035224
118206a694829
12351a3b226a0
1317042110143
14a3c6599716
1557cc9353b9
hex31711ba758

212351035224 has 64 divisors (see below), whose sum is σ = 543299328000. Its totient is φ = 69127906176.

The previous prime is 212351035223. The next prime is 212351035229. The reversal of 212351035224 is 422530153212.

212351035224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212351035191 and 212351035200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212351035223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14588302 + ... + 14602850.

It is an arithmetic number, because the mean of its divisors is an integer number (8489052000).

Almost surely, 2212351035224 is an apocalyptic number.

212351035224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212351035224 is an abundant number, since it is smaller than the sum of its proper divisors (330948292776).

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

212351035224 is a wasteful number, since it uses less digits than its factorization.

212351035224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28744 (or 28740 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 212351035224 its reverse (422530153212), we get a palindrome (634881188436).

The spelling of 212351035224 in words is "two hundred twelve billion, three hundred fifty-one million, thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 14143 14549 28286 29098 42429 43647 56572 58196 84858 87294 113144 116392 169716 174588 339432 349176 608149 625607 1216298 1251214 1824447 1876821 2432596 2502428 3648894 3753642 4865192 5004856 7297788 7507284 14595576 15014568 205766507 411533014 617299521 823066028 1234599042 1646132056 2469198084 4938396168 8847959801 17695919602 26543879403 35391839204 53087758806 70783678408 106175517612 212351035224