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422235240 = 233574091229
BaseRepresentation
bin11001001010101…
…100110001101000
31002102111202212020
4121022230301220
51331043011430
6105521544440
713314640350
oct3112546150
91072452766
10422235240
111a7382649
12b94a5120
136962824b
1440111b60
1527106b10
hex192acc68

422235240 has 128 divisors (see below), whose sum is σ = 1452384000. Its totient is φ = 96196608.

The previous prime is 422235223. The next prime is 422235241. The reversal of 422235240 is 42532224.

It is a happy number.

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 422235240.

It is not an unprimeable number, because it can be changed into a prime (422235241) 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 31 ways as a sum of consecutive naturals, for example, 342946 + ... + 344174.

It is an arithmetic number, because the mean of its divisors is an integer number (11346750).

Almost surely, 2422235240 is an apocalyptic number.

422235240 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 422235240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726192000).

422235240 is an abundant number, since it is smaller than the sum of its proper divisors (1030148760).

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

422235240 is a wasteful number, since it uses less digits than its factorization.

422235240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 422235240 is about 20548.3634384834. The cubic root of 422235240 is about 750.2134148219.

Adding to 422235240 its reverse (42532224), we get a palindrome (464767464).

The spelling of 422235240 in words is "four hundred twenty-two million, two hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 409 420 818 840 1227 1229 1636 2045 2454 2458 2863 3272 3687 4090 4908 4916 5726 6135 6145 7374 8180 8589 8603 9816 9832 11452 12270 12290 14315 14748 16360 17178 17206 18435 22904 24540 24580 25809 28630 29496 34356 34412 36870 42945 43015 49080 49160 51618 57260 68712 68824 73740 85890 86030 103236 114520 129045 147480 171780 172060 206472 258090 343560 344120 502661 516180 1005322 1032360 1507983 2010644 2513305 3015966 3518627 4021288 5026610 6031932 7037254 7539915 10053220 10555881 12063864 14074508 15079830 17593135 20106440 21111762 28149016 30159660 35186270 42223524 52779405 60319320 70372540 84447048 105558810 140745080 211117620 422235240