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422310013400 = 235211217450827
BaseRepresentation
bin1100010010100111010…
…00110110100111011000
31111101001111210110220102
412021103220312213120
523404342330412100
6522001225114532
742340143612602
oct6112350664730
91441044713812
10422310013400
11153111aa1700
1269a1a928a48
1330a92785ac2
14166231a2172
15aeba362cd5
hex6253a369d8

422310013400 has 72 divisors (see below), whose sum is σ = 1079246457660. Its totient is φ = 153567268800.

The previous prime is 422310013397. The next prime is 422310013403. The reversal of 422310013400 is 4310013224.

It is an interprime number because it is at equal distance from previous prime (422310013397) and next prime (422310013403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422310013403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8701214 + ... + 8749613.

Almost surely, 2422310013400 is an apocalyptic number.

422310013400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422310013400 is an abundant number, since it is smaller than the sum of its proper divisors (656936444260).

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

422310013400 is a wasteful number, since it uses less digits than its factorization.

422310013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17450865 (or 17450845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 422310013400 its reverse (4310013224), we get a palindrome (426620026624).

The spelling of 422310013400 in words is "four hundred twenty-two billion, three hundred ten million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 17450827 34901654 69803308 87254135 139606616 174508270 191959097 349016540 383918194 436270675 698033080 767836388 872541350 959795485 1535672776 1745082700 1919590970 2111550067 3490165400 3839181940 4223100134 4798977425 7678363880 8446200268 9597954850 10557750335 16892400536 19195909700 21115500670 38391819400 42231001340 52788751675 84462002680 105577503350 211155006700 422310013400