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422331320 = 23537461619
BaseRepresentation
bin11001001011000…
…100001110111000
31002102200122122202
4121023010032320
51331104100240
6105524005332
713315520435
oct3113041670
91072618582
10422331320
111a7438854
12b9530848
136965cbb8
1440138b8c
1527125315
hex192c43b8

422331320 has 64 divisors (see below), whose sum is σ = 979624800. Its totient is φ = 163745280.

The previous prime is 422331317. The next prime is 422331341. The reversal of 422331320 is 23133224.

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 = 422331292 and 422331301.

It is a congruent number.

It is an unprimeable number.

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, 681971 + ... + 682589.

Almost surely, 2422331320 is an apocalyptic number.

422331320 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 422331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489812400).

422331320 is an abundant number, since it is smaller than the sum of its proper divisors (557293480).

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

422331320 is a wasteful number, since it uses less digits than its factorization.

422331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 422331320 is about 20550.7012045818. The cubic root of 422331320 is about 750.2703144136.

Adding to 422331320 its reverse (23133224), we get a palindrome (445464544).

The spelling of 422331320 in words is "four hundred twenty-two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 461 619 740 922 1238 1480 1844 2305 2476 3095 3688 4610 4952 6190 9220 12380 17057 18440 22903 24760 34114 45806 68228 85285 91612 114515 136456 170570 183224 229030 285359 341140 458060 570718 682280 916120 1141436 1426795 2282872 2853590 5707180 10558283 11414360 21116566 42233132 52791415 84466264 105582830 211165660 422331320