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220680064264 = 23112877259949
BaseRepresentation
bin1100110110000110001…
…1101000110100001000
3210002121120110210112111
43031201203220310020
512103423044024024
6245213511352104
721641441411362
oct3154143506410
9702546423474
10220680064264
1185654163600
1236929382634
1317a6b8760aa
14a976831d32
155b18c75a94
hex33618e8d08

220680064264 has 48 divisors (see below), whose sum is σ = 455331019500. Its totient is φ = 100194357120.

The previous prime is 220680064261. The next prime is 220680064373. The reversal of 220680064264 is 462460086022.

It can be written as a sum of positive squares in 2 ways, for example, as 198372252100 + 22307812164 = 445390^2 + 149358^2 .

It is not an unprimeable number, because it can be changed into a prime (220680064261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718962 + ... + 978910.

Almost surely, 2220680064264 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 220680064264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227665509750).

220680064264 is an abundant number, since it is smaller than the sum of its proper divisors (234650955236).

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

220680064264 is a wasteful number, since it uses less digits than its factorization.

220680064264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260854 (or 260839 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 220680064264 in words is "two hundred twenty billion, six hundred eighty million, sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 877 968 1754 3508 7016 9647 19294 38588 77176 106117 212234 259949 424468 519898 848936 1039796 2079592 2859439 5718878 11437756 22875512 31453829 62907658 125815316 227975273 251630632 455950546 911901092 1823802184 2507728003 5015456006 10030912012 20061824024 27585008033 55170016066 110340032132 220680064264