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1214022420 = 2232513518813
BaseRepresentation
bin100100001011100…
…1000001100010100
310010121101201200100
41020113020030110
54441242204140
6320244414100
742041006652
oct11027101424
93117351610
101214022420
11573314016
1229a6a7330
13164693b80
14b733ddd2
15718aa530
hex485c8314

1214022420 has 72 divisors (see below), whose sum is σ = 3965814216. Its totient is φ = 298835712.

The previous prime is 1214022401. The next prime is 1214022437. The reversal of 1214022420 is 242204121.

1214022420 is a `hidden beast` number, since 1 + 21 + 402 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12152196 + 1201870224 = 3486^2 + 34668^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1214022393 and 1214022402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257067 + ... + 261746.

It is an arithmetic number, because the mean of its divisors is an integer number (55080753).

Almost surely, 21214022420 is an apocalyptic number.

1214022420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214022420 is an abundant number, since it is smaller than the sum of its proper divisors (2751791796).

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

1214022420 is a wasteful number, since it uses less digits than its factorization.

1214022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518841 (or 518836 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1214022420 is about 34842.8245123727. The cubic root of 1214022420 is about 1066.7817295580.

Adding to 1214022420 its reverse (242204121), we get a palindrome (1456226541).

The spelling of 1214022420 in words is "one billion, two hundred fourteen million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 518813 1037626 1556439 2075252 2594065 3112878 4669317 5188130 6225756 6744569 7782195 9338634 10376260 13489138 15564390 18677268 20233707 23346585 26978276 31128780 33722845 40467414 46693170 60701121 67445690 80934828 93386340 101168535 121402242 134891380 202337070 242804484 303505605 404674140 607011210 1214022420