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1422005640 = 23351110310459
BaseRepresentation
bin101010011000010…
…0001010110001000
310200002202101000120
41110300201112020
510403013140030
6353034303240
750144564016
oct12460412610
93602671016
101422005640
1166a759980
12338287b20
131987b4a73
14d6bdd8b6
1584c90010
hex54c21588

1422005640 has 128 divisors (see below), whose sum is σ = 4699468800. Its totient is φ = 341349120.

The previous prime is 1422005639. The next prime is 1422005687. The reversal of 1422005640 is 465002241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1422005640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130731 + ... + 141189.

It is an arithmetic number, because the mean of its divisors is an integer number (36714600).

Almost surely, 21422005640 is an apocalyptic number.

1422005640 is a gapful number since it is divisible by the number (10) 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 1422005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349734400).

1422005640 is an abundant number, since it is smaller than the sum of its proper divisors (3277463160).

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

1422005640 is a wasteful number, since it uses less digits than its factorization.

1422005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10587 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1422005640 is about 37709.4900522402. The cubic root of 1422005640 is about 1124.5197990082.

Adding to 1422005640 its reverse (465002241), we get a palindrome (1887007881).

The spelling of 1422005640 in words is "one billion, four hundred twenty-two million, five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 220 264 309 330 412 440 515 618 660 824 1030 1133 1236 1320 1545 2060 2266 2472 3090 3399 4120 4532 5665 6180 6798 9064 10459 11330 12360 13596 16995 20918 22660 27192 31377 33990 41836 45320 52295 62754 67980 83672 104590 115049 125508 135960 156885 209180 230098 251016 313770 345147 418360 460196 575245 627540 690294 920392 1077277 1150490 1255080 1380588 1725735 2154554 2300980 2761176 3231831 3451470 4309108 4601960 5386385 6463662 6902940 8618216 10772770 11850047 12927324 13805880 16159155 21545540 23700094 25854648 32318310 35550141 43091080 47400188 59250235 64636620 71100282 94800376 118500470 129273240 142200564 177750705 237000940 284401128 355501410 474001880 711002820 1422005640