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2241410014224 = 243322922656983
BaseRepresentation
bin100000100111011110011…
…100101001110000010000
321221021110201101012212000
4200213132130221300100
5243210401430423344
64433404535234000
7320636141524353
oct40473634516020
97837421335760
102241410014224
11794638579637
12302497818900
13133496aac734
147a6b04da29a
153d486b0aa69
hex209de729c10

2241410014224 has 80 divisors (see below), whose sum is σ = 6461771836800. Its totient is φ = 743874033024.

The previous prime is 2241410014211. The next prime is 2241410014229. The reversal of 2241410014224 is 4224100141422.

2241410014224 is a `hidden beast` number, since 2 + 2 + 414 + 10 + 0 + 14 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2241410014229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11229564 + ... + 11427419.

It is an arithmetic number, because the mean of its divisors is an integer number (80772147960).

Almost surely, 22241410014224 is an apocalyptic number.

2241410014224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241410014224 is an abundant number, since it is smaller than the sum of its proper divisors (4220361822576).

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

2241410014224 is a wasteful number, since it uses less digits than its factorization.

2241410014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22657229 (or 22657217 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2241410014224 its reverse (4224100141422), we get a palindrome (6465510155646).

The spelling of 2241410014224 in words is "two trillion, two hundred forty-one billion, four hundred ten million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 432 458 687 916 1374 1832 2061 2748 3664 4122 5496 6183 8244 10992 12366 16488 24732 32976 49464 98928 22656983 45313966 67970949 90627932 135941898 181255864 203912847 271883796 362511728 407825694 543767592 611738541 815651388 1087535184 1223477082 1631302776 2446954164 3262605552 4893908328 5188449107 9787816656 10376898214 15565347321 20753796428 31130694642 41507592856 46696041963 62261389284 83015185712 93392083926 124522778568 140088125889 186784167852 249045557136 280176251778 373568335704 560352503556 747136671408 1120705007112 2241410014224