Search a number
-
+
22212014001200 = 2452732413156371
BaseRepresentation
bin1010000110011101000110…
…01101000100110000110000
32220122110002110001112111122
411003032203031010300300
510402410201041014300
6115124020335001412
74451523261553352
oct503164315046060
986573073045448
1022212014001200
117094075923a31
1225a8a06669268
13c51778b9190a
1456b0d26130d2
15287bbadc1c85
hex1433a3344c30

22212014001200 has 120 divisors (see below), whose sum is σ = 54319861694736. Its totient is φ = 8726731776000.

The previous prime is 22212014001197. The next prime is 22212014001227. The reversal of 22212014001200 is 210041021222.

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, 5459015 + ... + 8615385.

Almost surely, 222212014001200 is an apocalyptic number.

22212014001200 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 22212014001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159930847368).

22212014001200 is an abundant number, since it is smaller than the sum of its proper divisors (32107847693536).

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

22212014001200 is a wasteful number, since it uses less digits than its factorization.

22212014001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156703 (or 3156692 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22212014001200 its reverse (210041021222), we get a palindrome (22422055022422).

The spelling of 22212014001200 in words is "twenty-two trillion, two hundred twelve billion, fourteen million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 241 292 365 400 482 584 730 964 1168 1205 1460 1825 1928 2410 2920 3650 3856 4820 5840 6025 7300 9640 12050 14600 17593 19280 24100 29200 35186 48200 70372 87965 96400 140744 175930 281488 351860 439825 703720 879650 1407440 1759300 3156371 3518600 6312742 7037200 12625484 15781855 25250968 31563710 50501936 63127420 78909275 126254840 157818550 230415083 252509680 315637100 460830166 631274200 760685411 921660332 1152075415 1262548400 1521370822 1843320664 2304150830 3042741644 3686641328 3803427055 4608301660 5760377075 6085483288 7606854110 9216603320 11520754150 12170966576 15213708220 18433206640 19017135275 23041508300 30427416440 38034270550 46083016600 55530035003 60854832880 76068541100 92166033200 111060070006 152137082200 222120140012 277650175015 304274164400 444240280024 555300350030 888480560048 1110600700060 1388250875075 2221201400120 2776501750150 4442402800240 5553003500300 11106007000600 22212014001200