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1214211132 = 2232531494271
BaseRepresentation
bin100100001011111…
…0110010000111100
310010121202022112200
41020113312100330
54441314224012
6320252431500
742042424101
oct11027662074
93117668480
101214211132
11573432882
1229a778590
1316472ba34
14b738caa8
15718e63dc
hex485f643c

1214211132 has 72 divisors (see below), whose sum is σ = 3148891200. Its totient is φ = 394343040.

The previous prime is 1214211107. The next prime is 1214211133. The reversal of 1214211132 is 2311124121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214211133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282157 + ... + 286427.

It is an arithmetic number, because the mean of its divisors is an integer number (43734600).

Almost surely, 21214211132 is an apocalyptic number.

1214211132 is a gapful number since it is divisible by the number (12) 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 1214211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574445600).

1214211132 is an abundant number, since it is smaller than the sum of its proper divisors (1934680068).

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

1214211132 is a wasteful number, since it uses less digits than its factorization.

1214211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4478 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1214211132 is about 34845.5324539603. The cubic root of 1214211132 is about 1066.8370014872.

Adding to 1214211132 its reverse (2311124121), we get a palindrome (3525335253).

The spelling of 1214211132 in words is "one billion, two hundred fourteen million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 149 159 212 298 318 447 477 596 636 894 954 1341 1788 1908 2682 4271 5364 7897 8542 12813 15794 17084 23691 25626 31588 38439 47382 51252 71073 76878 94764 142146 153756 226363 284292 452726 636379 679089 905452 1272758 1358178 1909137 2037267 2545516 2716356 3818274 4074534 5727411 7636548 8149068 11454822 22909644 33728087 67456174 101184261 134912348 202368522 303552783 404737044 607105566 1214211132