Search a number
-
+
422132113332 = 22343735212889
BaseRepresentation
bin1100010010010010000…
…10001101111110110100
31111100121010001012220000
412021021002031332310
523404011310111312
6521531432111300
742332553521526
oct6111102157664
91440533035800
10422132113332
11153030633756
126998b235530
1330a649689a7
14166076d3a16
15aea9921adc
hex624908dfb4

422132113332 has 60 divisors (see below), whose sum is σ = 1133362077540. Its totient is φ = 136907708544.

The previous prime is 422132113309. The next prime is 422132113343. The reversal of 422132113332 is 233311231224.

422132113332 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 321 + 1 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 243477112356 + 178655000976 = 493434^2 + 422676^2 .

It is a super-2 number, since 2×4221321133322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422132113296 and 422132113305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17594457 + ... + 17618432.

It is an arithmetic number, because the mean of its divisors is an integer number (18889367959).

Almost surely, 2422132113332 is an apocalyptic number.

It is an amenable number.

422132113332 is an abundant number, since it is smaller than the sum of its proper divisors (711229964208).

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

422132113332 is a wasteful number, since it uses less digits than its factorization.

422132113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35212942 (or 35212931 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 422132113332 its reverse (233311231224), we get a palindrome (655443344556).

The spelling of 422132113332 in words is "four hundred twenty-two billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 35212889 70425778 105638667 140851556 211277334 316916001 422554668 633832002 950748003 1267664004 1302876893 1901496006 2605753786 2852244009 3802992012 3908630679 5211507572 5704488018 7817261358 11408976036 11725892037 15634522716 23451784074 35177676111 46903568148 70355352222 105533028333 140710704444 211066056666 422132113332