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1024223214 = 23741289163
BaseRepresentation
bin111101000011000…
…110011111101110
32122101020221010010
4331003012133232
54044200120324
6245344354050
734244516340
oct7503063756
92571227103
101024223214
11486169073
12247015926
1313426b951
149a055290
155edb8829
hex3d0c67ee

1024223214 has 96 divisors (see below), whose sum is σ = 2441422080. Its totient is φ = 280558080.

The previous prime is 1024223203. The next prime is 1024223257. The reversal of 1024223214 is 4123224201.

It is a super-3 number, since 3×10242232143 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6283497 + ... + 6283659.

It is an arithmetic number, because the mean of its divisors is an integer number (25431480).

Almost surely, 21024223214 is an apocalyptic number.

1024223214 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 1024223214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220711040).

1024223214 is an abundant number, since it is smaller than the sum of its proper divisors (1417198866).

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

1024223214 is a wasteful number, since it uses less digits than its factorization.

1024223214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1024223214 is about 32003.4875287054. The cubic root of 1024223214 is about 1008.0100720995.

Adding to 1024223214 its reverse (4123224201), we get a palindrome (5147447415).

The spelling of 1024223214 in words is "one billion, twenty-four million, two hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 89 123 163 178 246 267 287 326 489 534 574 623 861 978 1141 1246 1681 1722 1869 2282 3362 3423 3649 3738 5043 6683 6846 7298 10086 10947 11767 13366 14507 20049 21894 23534 25543 29014 35301 40098 43521 46781 51086 70602 76629 87042 93562 101549 140343 149609 153258 203098 274003 280686 299218 304647 448827 548006 594787 609294 822009 897654 1047263 1189574 1644018 1784361 1918021 2094526 3141789 3568722 3836042 4163509 5754063 6283578 8327018 11508126 12490527 24386267 24981054 48772534 73158801 146317602 170703869 341407738 512111607 1024223214