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212212002000 = 24353181195407
BaseRepresentation
bin1100010110100011010…
…0100010110011010000
3202021202102022122220210
43011220310202303100
511434102233031000
6241253331404120
721221545153245
oct3055064426320
9667672278823
10212212002000
1181aa9163039
1235165453640
131701c380b6b
14a3b1d275cc
1557c0620350
hex3168d22cd0

212212002000 has 160 divisors (see below), whose sum is σ = 687954968064. Its totient is φ = 56276928000.

The previous prime is 212212001999. The next prime is 212212002029. The reversal of 212212002000 is 200212212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 988297 + ... + 1183703.

Almost surely, 2212212002000 is an apocalyptic number.

212212002000 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 212212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343977484032).

212212002000 is an abundant number, since it is smaller than the sum of its proper divisors (475742966064).

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

212212002000 is a wasteful number, since it uses less digits than its factorization.

212212002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195614 (or 195598 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212212002000 its reverse (200212212), we get a palindrome (212412214212).

The spelling of 212212002000 in words is "two hundred twelve billion, two hundred twelve million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 181 200 240 250 300 362 375 400 500 543 600 724 750 905 1000 1086 1200 1448 1500 1810 2000 2172 2715 2896 3000 3620 4344 4525 5430 6000 7240 8688 9050 10860 13575 14480 18100 21720 22625 27150 36200 43440 45250 54300 67875 72400 90500 108600 135750 181000 195407 217200 271500 362000 390814 543000 586221 781628 977035 1086000 1172442 1563256 1954070 2344884 2931105 3126512 3908140 4689768 4885175 5862210 7816280 9379536 9770350 11724420 14655525 15632560 19540700 23448840 24425875 29311050 35368667 39081400 46897680 48851750 58622100 70737334 73277625 78162800 97703500 106106001 117244200 141474668 146555250 176843335 195407000 212212002 234488400 282949336 293110500 353686670 390814000 424424004 530530005 565898672 586221000 707373340 848848008 884216675 1061060010 1172442000 1414746680 1697696016 1768433350 2122120020 2652650025 2829493360 3536866700 4244240040 4421083375 5305300050 7073733400 8488480080 8842166750 10610600100 13263250125 14147466800 17684333500 21221200200 26526500250 35368667000 42442400400 53053000500 70737334000 106106001000 212212002000