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1214003214 = 23519314241
BaseRepresentation
bin100100001011100…
…0011100000001110
310010121100202100000
41020113003200032
54441241100324
6320244145130
742040566654
oct11027034016
93117322300
101214003214
11573300646
1229a6981a6
131646881c8
14b7336dd4
15718a49c9
hex485c380e

1214003214 has 96 divisors (see below), whose sum is σ = 2964648960. Its totient is φ = 370915200.

The previous prime is 1214003179. The next prime is 1214003221. The reversal of 1214003214 is 4123004121.

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 47 ways as a sum of consecutive naturals, for example, 284134 + ... + 288374.

It is an arithmetic number, because the mean of its divisors is an integer number (30881760).

Almost surely, 21214003214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214003214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482324480).

1214003214 is an abundant number, since it is smaller than the sum of its proper divisors (1750645746).

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

1214003214 is a wasteful number, since it uses less digits than its factorization.

1214003214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1214003214 is about 34842.5489021685. The cubic root of 1214003214 is about 1066.7761039843.

Adding to 1214003214 its reverse (4123004121), we get a palindrome (5337007335).

The spelling of 1214003214 in words is "one billion, two hundred fourteen million, three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 243 279 342 486 513 558 589 837 1026 1178 1539 1674 1767 2511 3078 3534 4241 4617 5022 5301 7533 8482 9234 10602 12723 15066 15903 25446 31806 38169 47709 76338 80579 95418 114507 131471 143127 161158 229014 241737 262942 286254 343521 394413 483474 687042 725211 788826 1030563 1183239 1450422 2061126 2175633 2366478 2497949 3549717 4351266 4995898 6526899 7099434 7493847 10649151 13053798 14987694 19580697 21298302 22481541 31947453 39161394 44963082 63894906 67444623 134889246 202333869 404667738 607001607 1214003214