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222415035030 = 237521134813
BaseRepresentation
bin1100111100100011111…
…0000001101010010110
3210021002111010110000000
43033020332001222112
512121001222110110
6250102010032130
722032436414236
oct3171076015226
9707074113000
10222415035030
1186364541841
1237132418646
1317c87148006
14aa9d01bcc6
155bbb2361c0
hex33c8f81a96

222415035030 has 128 divisors (see below), whose sum is σ = 600838035840. Its totient is φ = 59270289408.

The previous prime is 222415035023. The next prime is 222415035053. The reversal of 222415035030 is 30530514222.

It is a happy number.

222415035030 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 150 + 3 + 503 + 0 = 666.

222415035030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2224150350302 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 222415034985 and 222415035003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46208904 + ... + 46213716.

It is an arithmetic number, because the mean of its divisors is an integer number (4694047155).

Almost surely, 2222415035030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222415035030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300419017920).

222415035030 is an abundant number, since it is smaller than the sum of its proper divisors (378423000810).

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

222415035030 is an equidigital number, since it uses as much as digits as its factorization.

222415035030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 222415035030 its reverse (30530514222), we get a palindrome (252945549252).

The spelling of 222415035030 in words is "two hundred twenty-two billion, four hundred fifteen million, thirty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2113 2187 2430 3645 4226 4374 4813 6339 7290 9626 10565 10935 12678 14439 19017 21130 21870 24065 28878 31695 38034 43317 48130 57051 63390 72195 86634 95085 114102 129951 144390 171153 190170 216585 259902 285255 342306 389853 433170 513459 570510 649755 779706 855765 1026918 1169559 1299510 1540377 1711530 1949265 2339118 2567295 3080754 3508677 3898530 4621131 5134590 5847795 7017354 7701885 9242262 10169869 10526031 11695590 15403770 17543385 20339738 21052062 23105655 30509607 35086770 46211310 50849345 52630155 61019214 91528821 101698690 105260310 152548035 183057642 274586463 305096070 457644105 549172926 823759389 915288210 1372932315 1647518778 2471278167 2745864630 4118796945 4942556334 7413834501 8237593890 12356390835 14827669002 22241503503 24712781670 37069172505 44483007006 74138345010 111207517515 222415035030