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7221422080 = 21151494733
BaseRepresentation
bin1101011100110111…
…00010100000000000
3200122021101020210001
412232123202200000
5104242141001310
63152324045344
7343645034455
oct65633424000
920567336701
107221422080
113076339324
121496533854
138b1150a22
144c711782c
152c3ea593a
hex1ae6e2800

7221422080 has 96 divisors (see below), whose sum is σ = 17447157000. Its totient is φ = 2868576256.

The previous prime is 7221422059. The next prime is 7221422099. The reversal of 7221422080 is 802241227.

It can be written as a sum of positive squares in 4 ways, for example, as 3096699904 + 4124722176 = 55648^2 + 64224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1523394 + ... + 1528126.

Almost surely, 27221422080 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 7221422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723578500).

7221422080 is an abundant number, since it is smaller than the sum of its proper divisors (10225734920).

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

7221422080 is a wasteful number, since it uses less digits than its factorization.

7221422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 7221422080 is about 84978.9508054789. The cubic root of 7221422080 is about 1932.8919462713.

The spelling of 7221422080 in words is "seven billion, two hundred twenty-one million, four hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 256 298 320 512 596 640 745 1024 1192 1280 1490 2048 2384 2560 2980 4733 4768 5120 5960 9466 9536 10240 11920 18932 19072 23665 23840 37864 38144 47330 47680 75728 76288 94660 95360 151456 152576 189320 190720 302912 305152 378640 381440 605824 705217 757280 762880 1211648 1410434 1514560 1525760 2423296 2820868 3029120 3526085 4846592 5641736 6058240 7052170 9693184 11283472 12116480 14104340 22566944 24232960 28208680 45133888 48465920 56417360 90267776 112834720 180535552 225669440 361071104 451338880 722142208 902677760 1444284416 1805355520 3610711040 7221422080