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220291299904 = 2613245132
BaseRepresentation
bin1100110100101001100…
…0100111101001000000
3210001121110221112002111
43031022120213221000
512102124033044104
6245111143025104
721626011103524
oct3151230475100
9701543845074
10220291299904
1185474772145
123683b13b194
1317a09169900
14a93ad53d84
155ae4a81404
hex334a627a40

220291299904 has 63 divisors (see below), whose sum is σ = 473458284603. Its totient is φ = 101650378752.

The previous prime is 220291299889. The next prime is 220291299923. The reversal of 220291299904 is 409992192022.

The square root of 220291299904 is 469352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 184343139904 + 35948160000 = 429352^2 + 189600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48810352 + ... + 48814864.

Almost surely, 2220291299904 is an apocalyptic number.

220291299904 is the 469352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220291299904

220291299904 is an abundant number, since it is smaller than the sum of its proper divisors (253166984699).

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

220291299904 is an frugal number, since it uses more digits than its factorization.

220291299904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 220291299904 by its sum of digits (49), we get a square (10794273695296 = 32854642).

The spelling of 220291299904 in words is "two hundred twenty billion, two hundred ninety-one million, two hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 4513 5408 9026 10816 18052 36104 58669 72208 117338 144416 234676 288832 469352 762697 938704 1525394 1877408 3050788 3754816 6101576 12203152 20367169 24406304 40734338 48812608 81468676 162937352 264773197 325874704 529546394 651749408 1059092788 1303498816 2118185576 3442051561 4236371152 6884103122 8472742304 13768206244 16945484608 27536412488 55072824976 110145649952 220291299904