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1214215540 = 225236739397
BaseRepresentation
bin100100001011111…
…0111010101110100
310010121202112120221
41020113313111310
54441314344130
6320252504124
742042442666
oct11027672564
93117675527
101214215540
1157343611a
1229a77b044
13164730a45
14b7390536
15718e787a
hex485f7574

1214215540 has 48 divisors (see below), whose sum is σ = 2700496512. Its totient is φ = 457623936.

The previous prime is 1214215537. The next prime is 1214215571. The reversal of 1214215540 is 455124121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11122 + ... + 50518.

It is an arithmetic number, because the mean of its divisors is an integer number (56260344).

Almost surely, 21214215540 is an apocalyptic number.

1214215540 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 1214215540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350248256).

1214215540 is an abundant number, since it is smaller than the sum of its proper divisors (1486280972).

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

1214215540 is a wasteful number, since it uses less digits than its factorization.

1214215540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39496 (or 39494 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 1214215540 is about 34845.5957044789. The cubic root of 1214215540 is about 1066.8382924795.

Adding to 1214215540 its reverse (455124121), we get a palindrome (1669339661).

The spelling of 1214215540 in words is "one billion, two hundred fourteen million, two hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 335 460 670 1340 1541 3082 6164 7705 15410 30820 39397 78794 157588 196985 393970 787940 906131 1812262 2639599 3624524 4530655 5279198 9061310 10558396 13197995 18122620 26395990 52791980 60710777 121421554 242843108 303553885 607107770 1214215540