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422320640 = 295723567
BaseRepresentation
bin11001001011000…
…001101000000000
31002102200010000012
4121023001220000
51331103230030
6105523444052
713315444340
oct3113015000
91072603005
10422320640
111a7430825
12b9526628
1369658091
1440134d20
1527122095
hex192c1a00

422320640 has 80 divisors (see below), whose sum is σ = 1157283072. Its totient is φ = 144789504.

The previous prime is 422320621. The next prime is 422320651. The reversal of 422320640 is 46023224.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6137 + ... + 29703.

Almost surely, 2422320640 is an apocalyptic number.

422320640 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 422320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578641536).

422320640 is an abundant number, since it is smaller than the sum of its proper divisors (734962432).

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

422320640 is an equidigital number, since it uses as much as digits as its factorization.

422320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23597 (or 23581 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 422320640 is about 20550.4413577908. The cubic root of 422320640 is about 750.2639900311.

Adding to 422320640 its reverse (46023224), we get a palindrome (468343864).

The spelling of 422320640 in words is "four hundred twenty-two million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 23567 47134 94268 117835 164969 188536 235670 329938 377072 471340 659876 754144 824845 942680 1319752 1508288 1649690 1885360 2639504 3016576 3299380 3770720 5279008 6033152 6598760 7541440 10558016 12066304 13197520 15082880 21116032 26395040 30165760 42232064 52790080 60331520 84464128 105580160 211160320 422320640