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422860240 = 245111393457
BaseRepresentation
bin11001001101000…
…101010111010000
31002110200112012101
4121031011113100
51331223011430
6105543210144
713323152455
oct3115052720
91073615171
10422860240
111a776a180
12b9746954
13697b687a
144023582c
15271cbdca
hex193455d0

422860240 has 80 divisors (see below), whose sum is σ = 1080555840. Its totient is φ = 152616960.

The previous prime is 422860231. The next prime is 422860241. The reversal of 422860240 is 42068224.

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

It is a junction number, because it is equal to n+sod(n) for n = 422860199 and 422860208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422860241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 120592 + ... + 124048.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2422860240 is an apocalyptic number.

422860240 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 422860240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540277920).

422860240 is an abundant number, since it is smaller than the sum of its proper divisors (657695600).

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

422860240 is a wasteful number, since it uses less digits than its factorization.

422860240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 422860240 is about 20563.5658386380. The cubic root of 422860240 is about 750.5833920133.

The spelling of 422860240 in words is "four hundred twenty-two million, eight hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 440 556 695 880 1112 1390 1529 2224 2780 3058 3457 5560 6116 6914 7645 11120 12232 13828 15290 17285 24464 27656 30580 34570 38027 55312 61160 69140 76054 122320 138280 152108 190135 276560 304216 380270 480523 608432 760540 961046 1521080 1922092 2402615 3042160 3844184 4805230 5285753 7688368 9610460 10571506 19220920 21143012 26428765 38441840 42286024 52857530 84572048 105715060 211430120 422860240