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214152251412 = 223111622365541
BaseRepresentation
bin1100011101110001111…
…0000000100000010100
3202110202122020112202010
43013130132000200110
512002040434021122
6242214041544220
721320615050131
oct3073436004024
9673678215663
10214152251412
11829043aa150
12356071a5070
131726b337938
14a5178ab588
155885b2de0c
hex31dc780814

214152251412 has 24 divisors (see below), whose sum is σ = 545114822112. Its totient is φ = 64894621600.

The previous prime is 214152251399. The next prime is 214152251491.

214152251412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2141522514122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214152251412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811182639 + ... + 811182902.

It is an arithmetic number, because the mean of its divisors is an integer number (22713117588).

Almost surely, 2214152251412 is an apocalyptic number.

214152251412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214152251412 is an abundant number, since it is smaller than the sum of its proper divisors (330962570700).

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

214152251412 is a wasteful number, since it uses less digits than its factorization.

214152251412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622365559 (or 1622365557 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 214152 and 251412, that added together give a palindrome (465564).

The spelling of 214152251412 in words is "two hundred fourteen billion, one hundred fifty-two million, two hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1622365541 3244731082 4867096623 6489462164 9734193246 17846020951 19468386492 35692041902 53538062853 71384083804 107076125706 214152251412