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8220029312 = 271117220201
BaseRepresentation
bin1111010011111001…
…11011000110000000
3210012212102202101002
413221330323012000
5113313311414222
63435355431132
7410462045015
oct75174730600
923185382332
108220029312
113538aa0760
121714a554a8
13a0ccc0c91
1457d9c170c
153319ae392
hex1e9f3b180

8220029312 has 96 divisors (see below), whose sum is σ = 18978162840. Its totient is φ = 3516416000.

The previous prime is 8220029291. The next prime is 8220029369. The reversal of 8220029312 is 2139200228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396812 + ... + 417012.

Almost surely, 28220029312 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 8220029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489081420).

8220029312 is an abundant number, since it is smaller than the sum of its proper divisors (10758133528).

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

8220029312 is a wasteful number, since it uses less digits than its factorization.

8220029312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20260 (or 20231 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 8220029312 is about 90664.3773044298. The cubic root of 8220029312 is about 2018.1701980349.

The spelling of 8220029312 in words is "eight billion, two hundred twenty million, twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 289 352 374 544 578 704 748 1088 1156 1408 1496 2176 2312 2992 3179 4624 5984 6358 9248 11968 12716 18496 20201 23936 25432 36992 40402 50864 80804 101728 161608 203456 222211 323216 343417 406912 444422 646432 686834 888844 1292864 1373668 1777688 2585728 2747336 3555376 3777587 5494672 5838089 7110752 7555174 10989344 11676178 14221504 15110348 21978688 23352356 28443008 30220696 43957376 46704712 60441392 64218979 93409424 120882784 128437958 186818848 241765568 256875916 373637696 483531136 513751832 747275392 1027503664 2055007328 4110014656 8220029312