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1214212420 = 2251731111483
BaseRepresentation
bin100100001011111…
…0110100101000100
310010121202101022101
41020113312211010
54441314244140
6320252441444
742042430621
oct11027664504
93117671271
101214212420
11573433843
1229a779284
1316472c4b5
14b738d348
15718e699a
hex485f6944

1214212420 has 48 divisors (see below), whose sum is σ = 2708754048. Its totient is φ = 455605760.

The previous prime is 1214212357. The next prime is 1214212421. The reversal of 1214212420 is 242124121.

It is not an unprimeable number, because it can be changed into a prime (1214212421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99999 + ... + 111481.

It is an arithmetic number, because the mean of its divisors is an integer number (56432376).

Almost surely, 21214212420 is an apocalyptic number.

1214212420 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 1214212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354377024).

1214212420 is an abundant number, since it is smaller than the sum of its proper divisors (1494541628).

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

1214212420 is a wasteful number, since it uses less digits than its factorization.

1214212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11820 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1214212420 is about 34845.5509355212. The cubic root of 1214212420 is about 1066.8373787103.

Adding to 1214212420 its reverse (242124121), we get a palindrome (1456336541).

The spelling of 1214212420 in words is "one billion, two hundred fourteen million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 311 340 622 1244 1555 3110 5287 6220 10574 11483 21148 22966 26435 45932 52870 57415 105740 114830 195211 229660 390422 780844 976055 1952110 3571213 3904220 7142426 14284852 17856065 35712130 60710621 71424260 121421242 242842484 303553105 607106210 1214212420