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22124431240 = 2355997127761
BaseRepresentation
bin10100100110101110…
…000000011110001000
32010002220000120001021
4110212232000132020
5330302323244430
614055215202224
71412156363662
oct244656003610
963086016037
1022124431240
11942373471a
124355516374
13211786ab42
1410dc4d1532
1589750c07a
hex526b80788

22124431240 has 128 divisors (see below), whose sum is σ = 51616051200. Its totient is φ = 8531066880.

The previous prime is 22124431229. The next prime is 22124431253. The reversal of 22124431240 is 4213442122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29072460 + ... + 29073220.

It is an arithmetic number, because the mean of its divisors is an integer number (403250400).

Almost surely, 222124431240 is an apocalyptic number.

22124431240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22124431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25808025600).

22124431240 is an abundant number, since it is smaller than the sum of its proper divisors (29491619960).

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

22124431240 is a wasteful number, since it uses less digits than its factorization.

22124431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22124431240 its reverse (4213442122), we get a palindrome (26337873362).

The spelling of 22124431240 in words is "twenty-two billion, one hundred twenty-four million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 97 118 127 194 236 254 295 388 472 485 508 590 635 761 776 970 1016 1180 1270 1522 1940 2360 2540 3044 3805 3880 5080 5723 6088 7493 7610 11446 12319 14986 15220 22892 24638 28615 29972 30440 37465 44899 45784 49276 57230 59944 61595 73817 74930 89798 96647 98552 114460 123190 147634 149860 179596 193294 224495 228920 246380 295268 299720 359192 369085 386588 448990 483235 492760 590536 726821 738170 773176 897980 966470 1453642 1476340 1795960 1932940 2907284 2952680 3634105 3865880 4355203 5702173 5814568 7268210 8710406 9374759 11404346 14536420 17420812 18749518 21776015 22808692 28510865 29072840 34841624 37499036 43552030 45617384 46873795 57021730 74998072 87104060 93747590 114043460 174208120 187495180 228086920 374990360 553110781 1106221562 2212443124 2765553905 4424886248 5531107810 11062215620 22124431240