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22124313150 = 23522921091609
BaseRepresentation
bin10100100110101101…
…100011101000111110
32010002212210120001120
4110212231203220332
5330302311010100
614055212451410
71412155362462
oct244655435076
963085716046
1022124313150
119423663a25
124355479b66
132117829174
1410dc4a04a2
158974d70a0
hex526b63a3e

22124313150 has 144 divisors (see below), whose sum is σ = 57382525200. Its totient is φ = 5640606720.

The previous prime is 22124313061. The next prime is 22124313187. The reversal of 22124313150 is 5131342122.

It is a self number, because there is not a number n which added to its sum of digits gives 22124313150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13749546 + ... + 13751154.

Almost surely, 222124313150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22124313150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28691262600).

22124313150 is an abundant number, since it is smaller than the sum of its proper divisors (35258212050).

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

22124313150 is a wasteful number, since it uses less digits than its factorization.

22124313150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 22124313150 its reverse (5131342122), we get a palindrome (27255655272).

The spelling of 22124313150 in words is "twenty-two billion, one hundred twenty-four million, three hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 109 145 150 174 218 290 327 435 545 654 725 841 870 1090 1450 1609 1635 1682 2175 2523 2725 3161 3218 3270 4205 4350 4827 5046 5450 6322 8045 8175 8410 9483 9654 12615 15805 16090 16350 18966 21025 24135 25230 31610 40225 42050 46661 47415 48270 63075 79025 80450 91669 93322 94830 120675 126150 139983 158050 175381 183338 233305 237075 241350 275007 279966 350762 458345 466610 474150 526143 550014 699915 876905 916690 1052286 1166525 1353169 1375035 1399830 1753810 2291725 2333050 2630715 2706338 2750070 3499575 4059507 4384525 4583450 5086049 5261430 6765845 6875175 6999150 8119014 8769050 10172098 13153575 13531690 13750350 15258147 20297535 25430245 26307150 30516294 33829225 40595070 50860490 67658450 76290735 101487675 127151225 147495421 152581470 202975350 254302450 294990842 381453675 442486263 737477105 762907350 884972526 1474954210 2212431315 3687385525 4424862630 7374771050 11062156575 22124313150