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2223380468288 = 267106119932347
BaseRepresentation
bin100000010110101011110…
…011011001001001000000
321212112221012121101102102
4200112223303121021000
5242411440344441123
64421223515405532
7316430304104450
oct40265363311100
97775835541372
102223380468288
11787a26346951
122baaa57538a8
13131882705a65
147987dbbbd60
153cc7dd68028
hex205abcd9240

2223380468288 has 112 divisors (see below), whose sum is σ = 5051745592704. Its totient is φ = 951096176640.

The previous prime is 2223380468251. The next prime is 2223380468327. The reversal of 2223380468288 is 8828640833222.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947327531 + ... + 947329877.

Almost surely, 22223380468288 is an apocalyptic number.

2223380468288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2223380468288 is an abundant number, since it is smaller than the sum of its proper divisors (2828365124416).

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

2223380468288 is a wasteful number, since it uses less digits than its factorization.

2223380468288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 56.

The spelling of 2223380468288 in words is "two trillion, two hundred twenty-three billion, three hundred eighty million, four hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1061 1993 2122 2347 3986 4244 4694 7427 7972 8488 9388 13951 14854 15944 16429 16976 18776 27902 29708 31888 32858 33952 37552 55804 59416 63776 65716 67904 75104 111608 118832 127552 131432 150208 223216 237664 262864 446432 475328 525728 892864 1051456 2114573 2490167 4229146 4677571 4980334 8458292 9355142 9960668 14802011 16916584 17431169 18710284 19921336 29604022 32742997 33833168 34862338 37420568 39842672 59208044 65485994 67666336 69724676 74841136 79685344 118416088 130971988 135332672 139449352 149682272 159370688 236832176 261943976 278898704 299364544 473664352 523887952 557797408 947328704 1047775904 1115594816 2095551808 4962902831 9925805662 19851611324 34740319817 39703222648 69480639634 79406445296 138961279268 158812890592 277922558536 317625781184 555845117072 1111690234144 2223380468288