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2222313133120 = 265241101928279
BaseRepresentation
bin100000010101101100001…
…011110101010001000000
321212110011211020010211021
4200111230023311101000
5242402244130224440
64420525550555224
7316361663646223
oct40255413652100
97773154203737
102222313133120
11787528912173
122ba848208b14
13131742550ca2
14797bc1435ba
153cc1a2d584a
hex2056c2f5440

2222313133120 has 112 divisors (see below), whose sum is σ = 5319244022400. Its totient is φ = 884336762880.

The previous prime is 2222313133021. The next prime is 2222313133163. The reversal of 2222313133120 is 213313132222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78571141 + ... + 78599419.

It is an arithmetic number, because the mean of its divisors is an integer number (47493250200).

Almost surely, 22222313133120 is an apocalyptic number.

2222313133120 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 2222313133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659622011200).

2222313133120 is an abundant number, since it is smaller than the sum of its proper divisors (3096930889280).

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

2222313133120 is a wasteful number, since it uses less digits than its factorization.

2222313133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29556 (or 29546 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2222313133120 its reverse (213313132222), we get a palindrome (2435626265342).

The spelling of 2222313133120 in words is "two trillion, two hundred twenty-two billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 482 964 1019 1205 1928 2038 2410 3856 4076 4820 5095 7712 8152 9640 10190 15424 16304 19280 20380 28279 32608 38560 40760 56558 65216 77120 81520 113116 141395 163040 226232 245579 282790 326080 452464 491158 565580 904928 982316 1131160 1227895 1809856 1964632 2262320 2455790 3929264 4524640 4911580 6815239 7858528 9049280 9823160 13630478 15717056 19646320 27260956 28816301 34076195 39292640 54521912 57632602 68152390 78585280 109043824 115265204 136304780 144081505 218087648 230530408 272609560 288163010 436175296 461060816 545219120 576326020 922121632 1090438240 1152652040 1844243264 2180876480 2305304080 4610608160 6944728541 9221216320 13889457082 27778914164 34723642705 55557828328 69447285410 111115656656 138894570820 222231313312 277789141640 444462626624 555578283280 1111156566560 2222313133120