Search a number
-
+
22163316240 = 24351347151141
BaseRepresentation
bin10100101001000010…
…010101111000010000
32010012121012010020110
4110221002111320100
5330342302104430
614103124441320
71413141036222
oct245102257020
963177163213
1022163316240
11944368358a
124366549240
132122934010
141103734412
1589ab3d7b0
hex529095e10

22163316240 has 160 divisors (see below), whose sum is σ = 75566163456. Its totient is φ = 5339473920.

The previous prime is 22163316191. The next prime is 22163316337. The reversal of 22163316240 is 4261336122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22163316198 and 22163316207.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 71070 + ... + 222210.

Almost surely, 222163316240 is an apocalyptic number.

22163316240 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 22163316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37783081728).

22163316240 is an abundant number, since it is smaller than the sum of its proper divisors (53402847216).

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

22163316240 is a wasteful number, since it uses less digits than its factorization.

22163316240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151217 (or 151211 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 22163316240 in words is "twenty-two billion, one hundred sixty-three million, three hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 47 48 52 60 65 78 80 94 104 120 130 141 156 188 195 208 235 240 260 282 312 376 390 470 520 564 611 624 705 752 780 940 1040 1128 1222 1410 1560 1833 1880 2256 2444 2820 3055 3120 3666 3760 4888 5640 6110 7332 9165 9776 11280 12220 14664 18330 24440 29328 36660 48880 73320 146640 151141 302282 453423 604564 755705 906846 1209128 1511410 1813692 1964833 2267115 2418256 3022820 3627384 3929666 4534230 5894499 6045640 7103627 7254768 7859332 9068460 9824165 11788998 12091280 14207254 15718664 18136920 19648330 21310881 23577996 28414508 29472495 31437328 35518135 36273840 39296660 42621762 47155992 56829016 58944990 71036270 78593320 85243524 92347151 94311984 106554405 113658032 117889980 142072540 157186640 170487048 184694302 213108810 235779960 277041453 284145080 340974096 369388604 426217620 461735755 471559920 554082906 568290160 738777208 852435240 923471510 1108165812 1385207265 1477554416 1704870480 1846943020 2216331624 2770414530 3693886040 4432663248 5540829060 7387772080 11081658120 22163316240