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211222300000 = 25557926737
BaseRepresentation
bin1100010010110111010…
…1001000010101100000
3202012012110000121000011
43010231311020111200
511430040402100000
6241011214534304
721155166632545
oct3045565102540
9665173017004
10211222300000
11816405332a8
1234b29b07394
1316bc230b08a
14a31a6dabcc
1557637c52ba
hex312dd48560

211222300000 has 144 divisors (see below), whose sum is σ = 526370685120. Its totient is φ = 83416320000.

The previous prime is 211222299991. The next prime is 211222300027. The reversal of 211222300000 is 3222112.

It is a super-2 number, since 2×2112223000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7886632 + ... + 7913368.

It is an arithmetic number, because the mean of its divisors is an integer number (3655351980).

Almost surely, 2211222300000 is an apocalyptic number.

211222300000 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 211222300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263185342560).

211222300000 is an abundant number, since it is smaller than the sum of its proper divisors (315148385120).

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

211222300000 is an frugal number, since it uses more digits than its factorization.

211222300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26851 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 211222300000 its reverse (3222112), we get a palindrome (211225522112).

The spelling of 211222300000 in words is "two hundred eleven billion, two hundred twenty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 625 632 790 800 1000 1250 1264 1580 1975 2000 2500 2528 3125 3160 3950 4000 5000 6250 6320 7900 9875 10000 12500 12640 15800 19750 20000 25000 26737 31600 39500 49375 50000 53474 63200 79000 98750 100000 106948 133685 158000 197500 213896 246875 267370 316000 395000 427792 493750 534740 668425 790000 855584 987500 1069480 1336850 1580000 1975000 2112223 2138960 2673700 3342125 3950000 4224446 4277920 5347400 6684250 7900000 8448892 10561115 10694800 13368500 16710625 16897784 21122230 21389600 26737000 33421250 33795568 42244460 52805575 53474000 66842500 67591136 83553125 84488920 105611150 106948000 133685000 167106250 168977840 211222300 264027875 267370000 334212500 337955680 422444600 528055750 534740000 668425000 844889200 1056111500 1320139375 1336850000 1689778400 2112223000 2640278750 2673700000 4224446000 5280557500 6600696875 8448892000 10561115000 13201393750 21122230000 26402787500 42244460000 52805575000 105611150000 211222300000