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422022004240 = 245311399121637
BaseRepresentation
bin1100010010000100111…
…10001011111000010000
31111100022102212002121111
412021002132023320100
523403300113113430
6521512500103104
742330045564004
oct6110236137020
91440272762544
10422022004240
11152a84468101
126995a394a94
1330a47bc5a95
14165d6c30704
15ae9ee21c2a
hex624278be10

422022004240 has 80 divisors (see below), whose sum is σ = 1013585126400. Its totient is φ = 163245242880.

The previous prime is 422022004231. The next prime is 422022004247. The reversal of 422022004240 is 42400220224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (422022004247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3408702 + ... + 3530338.

It is an arithmetic number, because the mean of its divisors is an integer number (12669814080).

Almost surely, 2422022004240 is an apocalyptic number.

422022004240 is a gapful number since it is divisible by the number (40) 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 422022004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506792563200).

422022004240 is an abundant number, since it is smaller than the sum of its proper divisors (591563122160).

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

422022004240 is a wasteful number, since it uses less digits than its factorization.

422022004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123080 (or 123074 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 422022004240 its reverse (42400220224), we get a palindrome (464422224464).

The spelling of 422022004240 in words is "four hundred twenty-two billion, twenty-two million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1399 2480 2798 5596 6995 11192 13990 22384 27980 43369 55960 86738 111920 121637 173476 216845 243274 346952 433690 486548 608185 693904 867380 973096 1216370 1734760 1946192 2432740 3469520 3770747 4865480 7541494 9730960 15082988 18853735 30165976 37707470 60331952 75414940 150829880 170170163 301659760 340340326 680680652 850850815 1361361304 1701701630 2722722608 3403403260 5275275053 6806806520 10550550106 13613613040 21101100212 26376375265 42202200424 52752750530 84404400848 105505501060 211011002120 422022004240