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22138225176 = 2333144966271
BaseRepresentation
bin10100100111100010…
…101000001000011000
32010010211222100202210
4110213202220020120
5330314341201201
614100430555120
71412414544354
oct244742501030
963124870683
1022138225176
1194304a6271
12435a068aa0
13211a68a532
141100282464
158988341d6
hex5278a8218

22138225176 has 64 divisors (see below), whose sum is σ = 57259008000. Its totient is φ = 7125350400.

The previous prime is 22138225171. The next prime is 22138225177. The reversal of 22138225176 is 67152283122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22138225171) 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 15 ways as a sum of consecutive naturals, for example, 300921 + ... + 367191.

It is an arithmetic number, because the mean of its divisors is an integer number (894672000).

Almost surely, 222138225176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22138225176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28629504000).

22138225176 is an abundant number, since it is smaller than the sum of its proper divisors (35120782824).

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

22138225176 is a wasteful number, since it uses less digits than its factorization.

22138225176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66760 (or 66756 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 22138225176 in words is "twenty-two billion, one hundred thirty-eight million, two hundred twenty-five thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 449 744 898 1347 1796 2694 3592 5388 10776 13919 27838 41757 55676 66271 83514 111352 132542 167028 198813 265084 334056 397626 530168 795252 1590504 2054401 4108802 6163203 8217604 12326406 16435208 24652812 29755679 49305624 59511358 89267037 119022716 178534074 238045432 357068148 714136296 922426049 1844852098 2767278147 3689704196 5534556294 7379408392 11069112588 22138225176