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122221386 = 2347289173
BaseRepresentation
bin1110100100011…
…11001101001010
322111222111020000
413102033031022
5222242041021
620043343430
73012602400
oct722171512
9274874200
10122221386
1162a99811
1234b21b76
131c424061
1412337470
15aae3b26
hex748f34a

122221386 has 120 divisors (see below), whose sum is σ = 324021060. Its totient is φ = 34328448.

The previous prime is 122221367. The next prime is 122221387. The reversal of 122221386 is 683122221.

It can be written as a sum of positive squares in 2 ways, for example, as 121550625 + 670761 = 11025^2 + 819^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122221387) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 706396 + ... + 706568.

Almost surely, 2122221386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162010530).

122221386 is an abundant number, since it is smaller than the sum of its proper divisors (201799674).

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

122221386 is a wasteful number, since it uses less digits than its factorization.

122221386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 122221386 is about 11055.3781482137. The cubic root of 122221386 is about 496.2673858557.

The spelling of 122221386 in words is "one hundred twenty-two million, two hundred twenty-one thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 89 98 126 147 162 173 178 189 267 294 346 378 441 519 534 567 623 801 882 1038 1134 1211 1246 1323 1557 1602 1869 2403 2422 2646 3114 3633 3738 3969 4361 4671 4806 5607 7209 7266 7938 8477 8722 9342 10899 11214 13083 14013 14418 15397 16821 16954 21798 25431 26166 28026 30794 32697 33642 39249 46191 50463 50862 65394 76293 78498 92382 98091 100926 107779 117747 138573 152586 196182 215558 228879 235494 277146 323337 353241 415719 457758 646674 686637 706482 754453 831438 970011 1247157 1373274 1508906 1940022 2263359 2494314 2910033 4526718 5820066 6790077 8730099 13580154 17460198 20370231 40740462 61110693 122221386