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1020233214 = 2327211138089
BaseRepresentation
bin111100110011111…
…000010111111110
32122002202012212100
4330303320113332
54042134430324
6245123045530
734165560600
oct7463702776
92562665770
101020233214
11483993350
122458108a6
131334a27c0
14996d7170
155e87b4c9
hex3ccf85fe

1020233214 has 144 divisors (see below), whose sum is σ = 3021323760. Its totient is φ = 244581120.

The previous prime is 1020233191. The next prime is 1020233237. The reversal of 1020233214 is 4123320201.

It is an interprime number because it is at equal distance from previous prime (1020233191) and next prime (1020233237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122082 + ... + 130170.

It is an arithmetic number, because the mean of its divisors is an integer number (20981415).

Almost surely, 21020233214 is an apocalyptic number.

1020233214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020233214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510661880).

1020233214 is an abundant number, since it is smaller than the sum of its proper divisors (2001090546).

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

1020233214 is a wasteful number, since it uses less digits than its factorization.

1020233214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1020233214 is about 31941.0897434637. The cubic root of 1020233214 is about 1006.6994221807.

Adding to 1020233214 its reverse (4123320201), we get a palindrome (5143553415).

The spelling of 1020233214 in words is "one billion, twenty million, two hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 49 63 66 77 78 91 98 99 117 126 143 147 154 182 198 231 234 273 286 294 429 441 462 539 546 637 693 819 858 882 1001 1078 1274 1287 1386 1617 1638 1911 2002 2574 3003 3234 3822 4851 5733 6006 7007 8089 9009 9702 11466 14014 16178 18018 21021 24267 42042 48534 56623 63063 72801 88979 105157 113246 126126 145602 169869 177958 210314 266937 315471 339738 396361 509607 533874 622853 630942 736099 792722 800811 946413 1019214 1156727 1189083 1245706 1472198 1601622 1868559 1892826 2208297 2313454 2378166 3470181 3567249 3737118 4359971 4416594 5152693 5605677 6624891 6940362 7134498 8097089 8719942 10305386 10410543 11211354 13079913 13249782 15458079 16194178 20821086 24291267 26159826 30916158 39239739 46374237 48582534 56679623 72873801 78479478 92748474 113359246 145747602 170038869 340077738 510116607 1020233214