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1214213440 = 2651117103197
BaseRepresentation
bin100100001011111…
…0110110101000000
310010121202102201011
41020113312311000
54441314312230
6320252450304
742042433606
oct11027666500
93117672634
101214213440
11573434590
1229a779994
1316472cabb
14b738d876
15718e6e2a
hex485f6d40

1214213440 has 224 divisors, whose sum is σ = 3389278464. Its totient is φ = 409436160.

The previous prime is 1214213419. The next prime is 1214213459. The reversal of 1214213440 is 443124121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 6163422 + ... + 6163618.

Almost surely, 21214213440 is an apocalyptic number.

1214213440 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 1214213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694639232).

1214213440 is an abundant number, since it is smaller than the sum of its proper divisors (2175065024).

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

1214213440 is a wasteful number, since it uses less digits than its factorization.

1214213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1214213440 is about 34845.5655715329. The cubic root of 1214213440 is about 1066.8376774428.

Adding to 1214213440 its reverse (443124121), we get a palindrome (1657337561).

The spelling of 1214213440 in words is "one billion, two hundred fourteen million, two hundred thirteen thousand, four hundred forty".