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1422514100 = 2252721717077
BaseRepresentation
bin101010011001001…
…1101011110110100
310200010201012111102
41110302131132310
510403130422400
6353053225232
750152112300
oct12462353664
93603635442
101422514100
1166aa76997
12338492218
13198932327
14d6cd2d00
1584d409d5
hex54c9d7b4

1422514100 has 108 divisors (see below), whose sum is σ = 3802280076. Its totient is φ = 459002880.

The previous prime is 1422514087. The next prime is 1422514111. The reversal of 1422514100 is 14152241.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1073296 + 1421440804 = 1036^2 + 37702^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74762 + ... + 91838.

It is an arithmetic number, because the mean of its divisors is an integer number (35206297).

Almost surely, 21422514100 is an apocalyptic number.

1422514100 is a gapful number since it is divisible by the number (10) 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 1422514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901140038).

1422514100 is an abundant number, since it is smaller than the sum of its proper divisors (2379765976).

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

1422514100 is a wasteful number, since it uses less digits than its factorization.

1422514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17122 (or 17108 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1422514100 is about 37716.2312539310. The cubic root of 1422514100 is about 1124.6538128231.

Adding to 1422514100 its reverse (14152241), we get a palindrome (1436666341).

The spelling of 1422514100 in words is "one billion, four hundred twenty-two million, five hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 340 350 425 476 490 595 700 833 850 980 1190 1225 1666 1700 2380 2450 2975 3332 4165 4900 5950 8330 11900 16660 17077 20825 34154 41650 68308 83300 85385 119539 170770 239078 290309 341540 426925 478156 580618 597695 836773 853850 1161236 1195390 1451545 1673546 1707700 2032163 2390780 2903090 2988475 3347092 4064326 4183865 5806180 5976950 7257725 8128652 8367730 10160815 11953900 14225141 14515450 16735460 20321630 20919325 28450282 29030900 40643260 41838650 50804075 56900564 71125705 83677300 101608150 142251410 203216300 284502820 355628525 711257050 1422514100