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222320145408 = 2103137528247
BaseRepresentation
bin1100111100001101010…
…0000011010000000000
3210020211212120112220120
43033003110003100000
512120302424123113
6250044340140240
722030205025144
oct3170324032000
9706755515816
10222320145408
1186315a20869
1237106697680
1317c705a35ca
14aa9059b224
155bb2c40a23
hex33c3503400

222320145408 has 88 divisors (see below), whose sum is σ = 596890658112. Its totient is φ = 73565650944.

The previous prime is 222320145379. The next prime is 222320145409. The reversal of 222320145408 is 804541023222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222320145409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156741 + ... + 684987.

Almost surely, 2222320145408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222320145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298445329056).

222320145408 is an abundant number, since it is smaller than the sum of its proper divisors (374570512704).

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

222320145408 is a wasteful number, since it uses less digits than its factorization.

222320145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528407 (or 528389 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 222320145408 in words is "two hundred twenty-two billion, three hundred twenty million, one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 512 548 768 822 1024 1096 1536 1644 2192 3072 3288 4384 6576 8768 13152 17536 26304 35072 52608 70144 105216 140288 210432 420864 528247 1056494 1584741 2112988 3169482 4225976 6338964 8451952 12677928 16903904 25355856 33807808 50711712 67615616 72369839 101423424 135231232 144739678 202846848 217109517 270462464 289479356 405693696 434219034 540924928 578958712 811387392 868438068 1157917424 1622774784 1736876136 2315834848 3473752272 4631669696 6947504544 9263339392 13895009088 18526678784 27790018176 37053357568 55580036352 74106715136 111160072704 222320145408