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240222220001 = 3153341342839
BaseRepresentation
bin1101111110111001011…
…1000010111011100001
3211222001111111011112022
43133232113002323201
512413433342020001
6302205003511225
723232634115351
oct3375627027341
9758044434468
10240222220001
11929721a9435
123a681b28515
131986443875a
14b8abdb6b61
1563ae70411b
hex37ee5c2ee1

240222220001 has 16 divisors (see below), whose sum is σ = 252729953280. Its totient is φ = 228014679360.

The previous prime is 240222219953. The next prime is 240222220031. The reversal of 240222220001 is 100022222042.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240222220001 is a prime.

It is a super-5 number, since 5×2402222200015 (a number of 58 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240222220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5586140 + ... + 5628978.

It is an arithmetic number, because the mean of its divisors is an integer number (15795622080).

Almost surely, 2240222220001 is an apocalyptic number.

It is an amenable number.

240222220001 is a deficient number, since it is larger than the sum of its proper divisors (12507733279).

240222220001 is a wasteful number, since it uses less digits than its factorization.

240222220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46336.

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 240222220001 its reverse (100022222042), we get a palindrome (340244442043).

The spelling of 240222220001 in words is "two hundred forty billion, two hundred twenty-two million, two hundred twenty thousand, one".

Divisors: 1 31 53 1643 3413 42839 105803 180889 1328009 2270467 5607559 70384477 146209507 4532494717 7749103871 240222220001