Search a number
-
+
4221830222511 = 3111034216014909
BaseRepresentation
bin111101011011111000101…
…100001101001010101111
3112221121021121101120222020
4331123320230031022233
51023132302014110021
612551252041321223
7614005613534526
oct75337054151257
915847247346866
104221830222511
111388517109080
12582276496213
13248169a34925
141084a28094bd
1574c45bc37c6
hex3d6f8b0d2af

4221830222511 has 64 divisors (see below), whose sum is σ = 6226801351680. Its totient is φ = 2523104640000.

The previous prime is 4221830222497. The next prime is 4221830222531. The reversal of 4221830222511 is 1152220381224.

It is not a de Polignac number, because 4221830222511 - 215 = 4221830189743 is a prime.

It is a super-2 number, since 2×42218302225112 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221830222531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 860015925 + ... + 860020833.

It is an arithmetic number, because the mean of its divisors is an integer number (97293771120).

Almost surely, 24221830222511 is an apocalyptic number.

4221830222511 is a deficient number, since it is larger than the sum of its proper divisors (2004971129169).

4221830222511 is a wasteful number, since it uses less digits than its factorization.

4221830222511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048.

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 4221830222511 in words is "four trillion, two hundred twenty-one billion, eight hundred thirty million, two hundred twenty-two thousand, five hundred eleven".

Divisors: 1 3 11 33 103 309 421 601 1133 1263 1803 3399 4631 4909 6611 13893 14727 19833 43363 53999 61903 130089 161997 185709 253021 476993 505627 680933 759063 1430979 1516881 2042799 2066689 2783231 2950309 5561897 6200067 8349693 8850927 16685691 22733579 26061163 32453399 68200737 78183489 97360197 212868967 286672793 303881827 638606901 860018379 911645481 1242080089 2341558637 3342700097 3726240267 7024675911 10028100291 13662880979 40988642937 127934249167 383802747501 1407276740837 4221830222511