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8228351142 = 234113311231
BaseRepresentation
bin1111010100111001…
…01010110010100110
3210020110002112210000
413222130222302212
5113322424214032
63440254042130
7410622554634
oct75234526246
923213075700
108228351142
113542765000
1217177a9346
13a11945a3b
14580b4a354
153325a4e7c
hex1ea72aca6

8228351142 has 160 divisors (see below), whose sum is σ = 20951175168. Its totient is φ = 2411046000.

The previous prime is 8228351141. The next prime is 8228351143. The reversal of 8228351142 is 2411538228.

It is a happy number.

8228351142 is a `hidden beast` number, since 8 + 22 + 83 + 511 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (8228351141) and next prime (8228351143).

It is a junction number, because it is equal to n+sod(n) for n = 8228351097 and 8228351106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8228351141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6683667 + ... + 6684897.

Almost surely, 28228351142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8228351142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475587584).

8228351142 is an abundant number, since it is smaller than the sum of its proper divisors (12722824026).

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

8228351142 is a wasteful number, since it uses less digits than its factorization.

8228351142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1278 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 8228351142 is about 90710.2592984939. The cubic root of 8228351142 is about 2018.8510230549.

The spelling of 8228351142 in words is "eight billion, two hundred twenty-eight million, three hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 121 162 186 198 242 279 297 341 363 558 594 682 726 837 891 1023 1089 1231 1331 1674 1782 2046 2178 2462 2511 2662 3069 3267 3693 3751 3993 5022 6138 6534 7386 7502 7986 9207 9801 11079 11253 11979 13541 18414 19602 22158 22506 23958 27082 27621 33237 33759 35937 38161 40623 41261 55242 66474 67518 71874 76322 81246 82522 99711 101277 107811 114483 121869 123783 148951 199422 202554 215622 228966 243738 247566 297902 303831 343449 365607 371349 419771 446853 607662 686898 731214 742698 839542 893706 1030347 1096821 1114047 1259313 1340559 1638461 2060694 2193642 2228094 2518626 2681118 3091041 3276922 3342141 3777939 4021677 4617481 4915383 6182082 6684282 7555878 8043354 9234962 9830766 11333817 12065031 13852443 14746149 22667634 24130062 27704886 29492298 34001451 41557329 44238447 50792291 68002902 83114658 88476894 101584582 124671987 132715341 152376873 249343974 265430682 304753746 374015961 457130619 748031922 914261238 1371391857 2742783714 4114175571 8228351142