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22124401040 = 2457192390407
BaseRepresentation
bin10100100110101101…
…111001000110010000
32010002212222000121202
4110212231321012100
5330302321313130
614055214410332
71412156206640
oct244655710620
963085860552
1022124401040
119423713a65
1243555009a8
13211785a181
1410dc4c4520
15897503145
hex526b79190

22124401040 has 160 divisors (see below), whose sum is σ = 64573009920. Its totient is φ = 6873748992.

The previous prime is 22124401009. The next prime is 22124401081. The reversal of 22124401040 is 4010442122.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 199517 + ... + 289923.

It is an arithmetic number, because the mean of its divisors is an integer number (403581312).

Almost surely, 222124401040 is an apocalyptic number.

22124401040 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 22124401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32286504960).

22124401040 is an abundant number, since it is smaller than the sum of its proper divisors (42448608880).

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

22124401040 is a wasteful number, since it uses less digits than its factorization.

22124401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90469 (or 90463 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22124401040 its reverse (4010442122), we get a palindrome (26134843162).

The spelling of 22124401040 in words is "twenty-two billion, one hundred twenty-four million, four hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 35 38 40 46 56 70 76 80 92 95 112 115 133 140 152 161 184 190 230 266 280 304 322 368 380 437 460 532 560 644 665 760 805 874 920 1064 1288 1330 1520 1610 1748 1840 2128 2185 2576 2660 3059 3220 3496 4370 5320 6118 6440 6992 8740 10640 12236 12880 15295 17480 24472 30590 34960 48944 61180 90407 122360 180814 244720 361628 452035 632849 723256 904070 1265698 1446512 1717733 1808140 2079361 2531396 3164245 3435466 3616280 4158722 5062792 6328490 6870932 7232560 8317444 8588665 10125584 10396805 12024131 12656980 13741864 14555527 16634888 17177330 20793610 24048262 25313960 27483728 29111054 33269776 34354660 39507859 41587220 48096524 50627920 58222108 60120655 68709320 72777635 79015718 83174440 96193048 116444216 120241310 137418640 145555270 158031436 166348880 192386096 197539295 232888432 240482620 276555013 291110540 316062872 395078590 480965240 553110026 582221080 632125744 790157180 961930480 1106220052 1164442160 1382775065 1580314360 2212440104 2765550130 3160628720 4424880208 5531100260 11062200520 22124401040