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221432042124 = 223216740990053
BaseRepresentation
bin1100111000111001100…
…0001101001010001100
3210011112222110020020100
43032032120031022030
512111443100321444
6245420253051100
721666202205556
oct3161630151214
9704488406210
10221432042124
11859aa684707
1236ab9186a90
1317b5b5b3bc7
14aa0865a4d6
155b5ecb3e69
hex338e60d28c

221432042124 has 72 divisors (see below), whose sum is σ = 564465676320. Its totient is φ = 73188502272.

The previous prime is 221432042123. The next prime is 221432042137. The reversal of 221432042124 is 421240234122.

It is a happy number.

221432042124 is a `hidden beast` number, since 2 + 214 + 3 + 2 + 0 + 421 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (221432042123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2413882 + ... + 2503934.

It is an arithmetic number, because the mean of its divisors is an integer number (7839801060).

Almost surely, 2221432042124 is an apocalyptic number.

It is an amenable number.

221432042124 is an abundant number, since it is smaller than the sum of its proper divisors (343033634196).

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

221432042124 is a wasteful number, since it uses less digits than its factorization.

221432042124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90639 (or 90634 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221432042124 its reverse (421240234122), we get a palindrome (642672276246).

The spelling of 221432042124 in words is "two hundred twenty-one billion, four hundred thirty-two million, forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 409 501 668 818 1002 1227 1503 1636 2004 2454 3006 3681 4908 6012 7362 14724 68303 90053 136606 180106 204909 270159 273212 360212 409818 540318 614727 810477 819636 1080636 1229454 1620954 2458908 3241908 15038851 30077702 36831677 45116553 60155404 73663354 90233106 110495031 135349659 147326708 180466212 220990062 270699318 331485093 441980124 541398636 662970186 1325940372 6150890059 12301780118 18452670177 24603560236 36905340354 55358010531 73810680708 110716021062 221432042124