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223220320011120 = 24351890674919339
BaseRepresentation
bin110010110000010010000111…
…111000011000001101110000
31002021100122122220100001011010
4302300102013320120031300
5213224220203410323440
62110425555505350520
765006064422650455
oct6260220770301560
91067318586301133
10223220320011120
116514122a339383
1221051715638440
1397727801828a3
143d19cc784382c
151ac17159bc580
hexcb0487e18370

223220320011120 has 80 divisors (see below), whose sum is σ = 691986792689280. Its totient is φ = 59525091731712.

The previous prime is 223220320011103. The next prime is 223220320011121. The reversal of 223220320011120 is 21110023022322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2232203200111203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223220320011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42916411 + ... + 47835749.

It is an arithmetic number, because the mean of its divisors is an integer number (8649834908616).

Almost surely, 2223220320011120 is an apocalyptic number.

223220320011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223220320011120 is an abundant number, since it is smaller than the sum of its proper divisors (468766472678160).

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

223220320011120 is a wasteful number, since it uses less digits than its factorization.

223220320011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108422 (or 5108416 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 223220320011120 its reverse (21110023022322), we get a palindrome (244330343033442).

The spelling of 223220320011120 in words is "two hundred twenty-three trillion, two hundred twenty billion, three hundred twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 189067 378134 567201 756268 945335 1134402 1512536 1890670 2268804 2836005 3025072 3781340 4537608 4919339 5672010 7562680 9075216 9838678 11344020 14758017 15125360 19677356 22688040 24596695 29516034 39354712 45376080 49193390 59032068 73790085 78709424 98386780 118064136 147580170 196773560 236128272 295160340 393547120 590320680 1180641360 930084666713 1860169333426 2790254000139 3720338666852 4650423333565 5580508000278 7440677333704 9300846667130 11161016000556 13951270000695 14881354667408 18601693334260 22322032001112 27902540001390 37203386668520 44644064002224 55805080002780 74406773337040 111610160005560 223220320011120