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212222160640 = 285747503947
BaseRepresentation
bin1100010110100101101…
…1010010111100000000
3202021210010102202221201
43011221123102330000
511434112333120030
6241254333230544
721222030413260
oct3055133227400
9667703382851
10212222160640
1182003971406
1235168932454
13170214c99a9
14a3b340d7a0
1557c147a2ca
hex31696d2f00

212222160640 has 144 divisors (see below), whose sum is σ = 593320154112. Its totient is φ = 71213617152.

The previous prime is 212222160637. The next prime is 212222160643. The reversal of 212222160640 is 46061222212.

It is an interprime number because it is at equal distance from previous prime (212222160637) and next prime (212222160643).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 212222160599 and 212222160608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212222160643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169147 + ... + 673093.

It is an arithmetic number, because the mean of its divisors is an integer number (4120278848).

Almost surely, 2212222160640 is an apocalyptic number.

212222160640 is a gapful number since it is divisible by the number (20) 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 212222160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296660077056).

212222160640 is an abundant number, since it is smaller than the sum of its proper divisors (381097993472).

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

212222160640 is an equidigital number, since it uses as much as digits as its factorization.

212222160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504022 (or 504008 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 212222160640 its reverse (46061222212), we get a palindrome (258283382852).

The spelling of 212222160640 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 320 329 376 448 470 560 640 658 752 896 940 1120 1280 1316 1504 1645 1792 1880 2240 2632 3008 3290 3760 4480 5264 6016 6580 7520 8960 10528 12032 13160 15040 21056 26320 30080 42112 52640 60160 84224 105280 210560 421120 503947 1007894 2015788 2519735 3527629 4031576 5039470 7055258 8063152 10078940 14110516 16126304 17638145 20157880 23685509 28221032 32252608 35276290 40315760 47371018 56442064 64505216 70552580 80631520 94742036 112884128 118427545 129010432 141105160 161263040 165798563 189484072 225768256 236855090 282210320 322526080 331597126 378968144 451536512 473710180 564420640 645052160 663194252 757936288 828992815 903073024 947420360 1128841280 1326388504 1515872576 1657985630 1894840720 2257682560 2652777008 3031745152 3315971260 3789681440 4515365120 5305554016 6063490304 6631942520 7579362880 10611108032 13263885040 15158725760 21222216064 26527770080 30317451520 42444432128 53055540160 106111080320 212222160640