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1314002214 = 232719752937
BaseRepresentation
bin100111001010010…
…0001010100100110
310101120112020011200
41032110201110212
510142341032324
6334215343330
744363556150
oct11624412446
93346466150
101314002214
116147a1348
12308081b46
1317c2cb405
14c6727ad0
157a558ec9
hex4e521526

1314002214 has 48 divisors (see below), whose sum is σ = 3270297888. Its totient is φ = 373516416.

The previous prime is 1314002203. The next prime is 1314002251. The reversal of 1314002214 is 4122004131.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647 + ... + 51290.

It is an arithmetic number, because the mean of its divisors is an integer number (68131206).

Almost surely, 21314002214 is an apocalyptic number.

1314002214 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 1314002214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635148944).

1314002214 is an abundant number, since it is smaller than the sum of its proper divisors (1956295674).

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

1314002214 is a wasteful number, since it uses less digits than its factorization.

1314002214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53149 (or 53146 counting only the distinct ones).

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

The square root of 1314002214 is about 36249.1684594281. The cubic root of 1314002214 is about 1095.2973384059.

Adding to 1314002214 its reverse (4122004131), we get a palindrome (5436006345).

The spelling of 1314002214 in words is "one billion, three hundred fourteen million, two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 197 394 591 1182 1379 1773 2758 3546 4137 8274 12411 24822 52937 105874 158811 317622 370559 476433 741118 952866 1111677 2223354 3335031 6670062 10428589 20857178 31285767 62571534 73000123 93857301 146000246 187714602 219000369 438000738 657001107 1314002214