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422412320 = 25511240007
BaseRepresentation
bin11001001011011…
…000000000100000
31002102211202202202
4121023120000200
51331114143240
6105525432332
713316305541
oct3113300040
91072752682
10422412320
111a74936a0
12b956b6a8
136968aa25
144015a4c8
152713e315
hex192d8020

422412320 has 48 divisors (see below), whose sum is σ = 1088676288. Its totient is φ = 153603840.

The previous prime is 422412317. The next prime is 422412323. The reversal of 422412320 is 23214224.

It is an interprime number because it is at equal distance from previous prime (422412317) and next prime (422412323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 422412292 and 422412301.

It is not an unprimeable number, because it can be changed into a prime (422412323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118244 + ... + 121763.

It is an arithmetic number, because the mean of its divisors is an integer number (22680756).

Almost surely, 2422412320 is an apocalyptic number.

422412320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422412320 is an abundant number, since it is smaller than the sum of its proper divisors (666263968).

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

422412320 is a wasteful number, since it uses less digits than its factorization.

422412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240033 (or 240025 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 422412320 is about 20552.6718457723. The cubic root of 422412320 is about 750.3182767659.

Adding to 422412320 its reverse (23214224), we get a palindrome (445626544).

The spelling of 422412320 in words is "four hundred twenty-two million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 240007 480014 960028 1200035 1920056 2400070 2640077 3840112 4800140 5280154 7680224 9600280 10560308 13200385 19200560 21120616 26400770 38401120 42241232 52801540 84482464 105603080 211206160 422412320