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1214211000 = 233533371201
BaseRepresentation
bin100100001011111…
…0110001110111000
310010121202022100210
41020113312032320
54441314223000
6320252431120
742042423522
oct11027661670
93117668323
101214211000
11573432772
1229a7784a0
1316472b962
14b738ca12
15718e6350
hex485f63b8

1214211000 has 128 divisors (see below), whose sum is σ = 3802743360. Its totient is φ = 322560000.

The previous prime is 1214210999. The next prime is 1214211013. The reversal of 1214211000 is 1124121.

It is a happy number.

1214211000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010400 + ... + 1011600.

Almost surely, 21214211000 is an apocalyptic number.

1214211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901371680).

1214211000 is an abundant number, since it is smaller than the sum of its proper divisors (2588532360).

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

1214211000 is a wasteful number, since it uses less digits than its factorization.

1214211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1214211000 is about 34845.5305598867. The cubic root of 1214211000 is about 1066.8369628277.

Adding to 1214211000 its reverse (1124121), we get a palindrome (1215335121).

The spelling of 1214211000 in words is "one billion, two hundred fourteen million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 337 375 500 600 674 750 1000 1011 1201 1348 1500 1685 2022 2402 2696 3000 3370 3603 4044 4804 5055 6005 6740 7206 8088 8425 9608 10110 12010 13480 14412 16850 18015 20220 24020 25275 28824 30025 33700 36030 40440 42125 48040 50550 60050 67400 72060 84250 90075 101100 120100 126375 144120 150125 168500 180150 202200 240200 252750 300250 337000 360300 404737 450375 505500 600500 720600 809474 900750 1011000 1201000 1214211 1618948 1801500 2023685 2428422 3237896 3603000 4047370 4856844 6071055 8094740 9713688 10118425 12142110 16189480 20236850 24284220 30355275 40473700 48568440 50592125 60710550 80947400 101184250 121421100 151776375 202368500 242842200 303552750 404737000 607105500 1214211000