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212221221000 = 23353677104491
BaseRepresentation
bin1100010110100101011…
…1101101100010001000
3202021210001200001000020
43011221113231202020
511434112113033000
6241254301140440
721222016420635
oct3055127554210
9667701601006
10212221221000
118200338a448
123516855a720
131702125b0a9
14a3b324718c
1557c1341ba0
hex31695ed888

212221221000 has 128 divisors (see below), whose sum is σ = 663114591360. Its totient is φ = 56508192000.

The previous prime is 212221220971. The next prime is 212221221013. The reversal of 212221221000 is 122122212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1978755 + ... + 2083245.

It is an arithmetic number, because the mean of its divisors is an integer number (5180582745).

Almost surely, 2212221221000 is an apocalyptic number.

212221221000 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 212221221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331557295680).

212221221000 is an abundant number, since it is smaller than the sum of its proper divisors (450893370360).

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

212221221000 is a wasteful number, since it uses less digits than its factorization.

212221221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105192 (or 105178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212221221000 its reverse (122122212), we get a palindrome (212343343212).

The spelling of 212221221000 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 677 750 1000 1354 1500 2031 2708 3000 3385 4062 5416 6770 8124 10155 13540 16248 16925 20310 27080 33850 40620 50775 67700 81240 84625 101550 104491 135400 169250 203100 208982 253875 313473 338500 406200 417964 507750 522455 626946 677000 835928 1015500 1044910 1253892 1567365 2031000 2089820 2507784 2612275 3134730 4179640 5224550 6269460 7836825 10449100 12538920 13061375 15673650 20898200 26122750 31347300 39184125 52245500 62694600 70740407 78368250 104491000 141480814 156736500 212221221 282961628 313473000 353702035 424442442 565923256 707404070 848884884 1061106105 1414808140 1697769768 1768510175 2122212210 2829616280 3537020350 4244424420 5305530525 7074040700 8488848840 8842550875 10611061050 14148081400 17685101750 21222122100 26527652625 35370203500 42444244200 53055305250 70740407000 106110610500 212221221000