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220023147088 = 24172989313409
BaseRepresentation
bin1100110011101001100…
…1101100101001010000
3210000220210100221120201
43030322121230221100
512101101411201323
6245024403344544
721616243615063
oct3147231545120
9700823327521
10220023147088
118534736aa48
1236785382154
131799573c7c4
14a9134b08da
155acb2638ad
hex333a66ca50

220023147088 has 80 divisors (see below), whose sum is σ = 472183506000. Its totient is φ = 98846375936.

The previous prime is 220023147079. The next prime is 220023147137. The reversal of 220023147088 is 880741320022.

It can be written as a sum of positive squares in 8 ways, for example, as 5313243664 + 214709903424 = 72892^2 + 463368^2 .

It is a congruent number.

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, 545328 + ... + 858736.

It is an arithmetic number, because the mean of its divisors is an integer number (5902293825).

Almost surely, 2220023147088 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 220023147088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236091753000).

220023147088 is an abundant number, since it is smaller than the sum of its proper divisors (252160358912).

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

220023147088 is a wasteful number, since it uses less digits than its factorization.

220023147088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313552 (or 313546 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 220023147088 in words is "two hundred twenty billion, twenty-three million, one hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 89 116 136 178 232 272 356 464 493 712 986 1424 1513 1972 2581 3026 3944 5162 6052 7888 10324 12104 20648 24208 41296 43877 87754 175508 313409 351016 626818 702032 1253636 2507272 5014544 5327953 9088861 10655906 18177722 21311812 27893401 36355444 42623624 55786802 72710888 85247248 111573604 145421776 154510637 223147208 309021274 446294416 474187817 618042548 808908629 948375634 1236085096 1617817258 1896751268 2472170192 3235634516 3793502536 6471269032 7587005072 12942538064 13751446693 27502893386 55005786772 110011573544 220023147088