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213224440240032 = 25313170852916859
BaseRepresentation
bin110000011110110100101111…
…000001001001011110100000
31000221222001112212001002211120
4300132310233001021132200
5210421432123200140112
62033253542223212240
762624646254543304
oct6036645701113640
91027861485032746
10213224440240032
1161a37a82847321
121bab83a9747080
1391c8c94822c50
143a92191a03d04
15199b6cc64ce8c
hexc1ed2f0497a0

213224440240032 has 48 divisors (see below), whose sum is σ = 602769090682080. Its totient is φ = 65607520073472.

The previous prime is 213224440240027. The next prime is 213224440240043. The reversal of 213224440240032 is 230042044422312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2132244402400322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213224440239975 and 213224440240002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85426457182 + ... + 85426459677.

It is an arithmetic number, because the mean of its divisors is an integer number (12557689389210).

Almost surely, 2213224440240032 is an apocalyptic number.

It is an amenable number.

213224440240032 is an abundant number, since it is smaller than the sum of its proper divisors (389544650442048).

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

213224440240032 is a wasteful number, since it uses less digits than its factorization.

213224440240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170852916885 (or 170852916877 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 213224440240032 its reverse (230042044422312), we get a palindrome (443266484662344).

The spelling of 213224440240032 in words is "two hundred thirteen trillion, two hundred twenty-four billion, four hundred forty million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 170852916859 341705833718 512558750577 683411667436 1025117501154 1366823334872 2050235002308 2221087919167 2733646669744 4100470004616 4442175838334 5467293339488 6663263757501 8200940009232 8884351676668 13326527515002 16401880018464 17768703353336 26653055030004 35537406706672 53306110060008 71074813413344 106612220120016 213224440240032