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22082420781 = 327140186179
BaseRepresentation
bin10100100100001101…
…110000000000101101
32002222221222012112100
4110210031300000231
5330211044431111
614051114525313
71411136323341
oct244415600055
962887865470
1022082420781
119401a50633
124343436839
13210bc4c195
1410d6ab7621
158939ae756
hex52437002d

22082420781 has 24 divisors (see below), whose sum is σ = 32427120960. Its totient is φ = 14477904000.

The previous prime is 22082420753. The next prime is 22082420807. The reversal of 22082420781 is 18702428022.

22082420781 is a `hidden beast` number, since 220 + 8 + 2 + 420 + 7 + 8 + 1 = 666.

It is not a de Polignac number, because 22082420781 - 219 = 22081896493 is a prime.

It is a super-2 number, since 2×220824207812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22082420081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213150 + ... + 299328.

It is an arithmetic number, because the mean of its divisors is an integer number (1351130040).

Almost surely, 222082420781 is an apocalyptic number.

It is an amenable number.

22082420781 is a deficient number, since it is larger than the sum of its proper divisors (10344700179).

22082420781 is a wasteful number, since it uses less digits than its factorization.

22082420781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86657 (or 86654 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22082420781 in words is "twenty-two billion, eighty-two million, four hundred twenty thousand, seven hundred eighty-one".

Divisors: 1 3 9 71 213 401 639 1203 3609 28471 85413 86179 256239 258537 775611 6118709 18356127 34557779 55068381 103673337 311020011 2453602309 7360806927 22082420781