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8221238312 = 2372353831451
BaseRepresentation
bin1111010100000011…
…00010010000101000
3210012221201011210212
413222001202100220
5113314114111222
63435441400252
7410505241550
oct75201422050
923187634725
108221238312
113539747031
121715339088
13a10325371
1457dc18160
15331b4c6e2
hex1ea062428

8221238312 has 128 divisors (see below), whose sum is σ = 18968463360. Its totient is φ = 3264518400.

The previous prime is 8221238303. The next prime is 8221238323. The reversal of 8221238312 is 2138321228.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5665187 + ... + 5666637.

It is an arithmetic number, because the mean of its divisors is an integer number (148191120).

Almost surely, 28221238312 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 8221238312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484231680).

8221238312 is an abundant number, since it is smaller than the sum of its proper divisors (10747225048).

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

8221238312 is a wasteful number, since it uses less digits than its factorization.

8221238312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1619 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 8221238312 is about 90671.0445070531. The cubic root of 8221238312 is about 2018.2691371856.

The spelling of 8221238312 in words is "eight billion, two hundred twenty-one million, two hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 53 56 83 92 106 161 166 184 212 322 332 371 424 581 644 664 742 1162 1219 1288 1451 1484 1909 2324 2438 2902 2968 3818 4399 4648 4876 5804 7636 8533 8798 9752 10157 11608 13363 15272 17066 17596 20314 26726 30793 33373 34132 35192 40628 53452 61586 66746 68264 76903 81256 101177 106904 120433 123172 133492 153806 202354 233611 240866 246344 266984 307612 404708 467222 481732 538321 615224 708239 809416 843031 934444 963464 1076642 1416478 1686062 1768769 1868888 2153284 2769959 2832956 3372124 3537538 4306568 5539918 5665912 6382949 6744248 7075076 11079836 12381383 12765898 14150152 19389713 22159672 24762766 25531796 38779426 44680643 49525532 51063592 77558852 89361286 99051064 146807827 155117704 178722572 293615654 357445144 587231308 1027654789 1174462616 2055309578 4110619156 8221238312