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2722020640 = 255532571249
BaseRepresentation
bin1010001000111110…
…1011110100100000
321000200221222100021
42202033223310200
521033314130030
61130034203224
7124311536143
oct24217536440
97020858307
102722020640
111177567439
1263b723514
13344c26801
141bb72605a
1510de8497a
hexa23ebd20

2722020640 has 96 divisors (see below), whose sum is σ = 6582870000. Its totient is φ = 1063256064.

The previous prime is 2722020611. The next prime is 2722020659. The reversal of 2722020640 is 460202272.

It can be written as a sum of positive squares in 8 ways, for example, as 2191363344 + 530657296 = 46812^2 + 23036^2 .

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, 2178736 + ... + 2179984.

Almost surely, 22722020640 is an apocalyptic number.

2722020640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2722020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291435000).

2722020640 is an abundant number, since it is smaller than the sum of its proper divisors (3860849360).

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

2722020640 is a wasteful number, since it uses less digits than its factorization.

2722020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 2722020640 is about 52172.9876468657. The cubic root of 2722020640 is about 1396.2519885670.

The spelling of 2722020640 in words is "two billion, seven hundred twenty-two million, twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 257 265 424 514 530 848 1028 1060 1249 1285 1696 2056 2120 2498 2570 4112 4240 4996 5140 6245 8224 8480 9992 10280 12490 13621 19984 20560 24980 27242 39968 41120 49960 54484 66197 68105 99920 108968 132394 136210 199840 217936 264788 272420 320993 330985 435872 529576 544840 641986 661970 1059152 1089680 1283972 1323940 1604965 2118304 2179360 2567944 2647880 3209930 5135888 5295760 6419860 10271776 10591520 12839720 17012629 25679440 34025258 51358880 68050516 85063145 136101032 170126290 272202064 340252580 544404128 680505160 1361010320 2722020640