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224143001142012 = 223230196299327407
BaseRepresentation
bin110010111101101101011011…
…111101100100001011111100
31002101121212021010122221210100
4302331231123331210023330
5213334324331243021022
62112413512340241100
765132540343112161
oct6275553375441374
91071555233587710
10224143001142012
1165467570826547
12211804b96a0190
13980b7959245b4
143d4c817232068
151ada71931e1ac
hexcbdb5bf642fc

224143001142012 has 72 divisors (see below), whose sum is σ = 566863079328000. Its totient is φ = 74677500213408.

The previous prime is 224143001141947. The next prime is 224143001142017. The reversal of 224143001142012 is 210241100341422.

224143001142012 is a `hidden beast` number, since 2 + 2 + 41 + 4 + 300 + 114 + 201 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224143001142017) 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, 684436813 + ... + 684764219.

It is an arithmetic number, because the mean of its divisors is an integer number (7873098324000).

Almost surely, 2224143001142012 is an apocalyptic number.

It is an amenable number.

224143001142012 is an abundant number, since it is smaller than the sum of its proper divisors (342720078185988).

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

224143001142012 is a wasteful number, since it uses less digits than its factorization.

224143001142012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336735 (or 336730 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 224143001142012 its reverse (210241100341422), we get a palindrome (434384101483434).

The spelling of 224143001142012 in words is "two hundred twenty-four trillion, one hundred forty-three billion, one million, one hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3019 6038 6299 9057 12076 12598 18114 18897 25196 27171 36228 37794 54342 56691 75588 108684 113382 226764 327407 654814 982221 1309628 1964442 2946663 3928884 5893326 11786652 19016681 38033362 57050043 76066724 114100086 171150129 228200172 342300258 684600516 988441733 1976883466 2062336693 2965325199 3953766932 4124673386 5930650398 6187010079 8249346772 8895975597 11861300796 12374020158 17791951194 18561030237 24748040316 35583902388 37122060474 74244120948 6226194476167 12452388952334 18678583428501 24904777904668 37357166857002 56035750285503 74714333714004 112071500571006 224143001142012