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20214432 = 2532737271
BaseRepresentation
bin100110100011…
…1001010100000
31102000222222200
41031013022200
520133330212
62001133200
7333551130
oct115071240
942028880
1020214432
1110457447
12692a200
134259c04
142982ac0
151b946dc
hex13472a0

20214432 has 144 divisors (see below), whose sum is σ = 67721472. Its totient is φ = 5598720.

The previous prime is 20214427. The next prime is 20214437. The reversal of 20214432 is 23441202.

20214432 is a `hidden beast` number, since 20 + 214 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (20214427) and next prime (20214437).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×202144322 = 817246522165248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20214437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74457 + ... + 74727.

It is an arithmetic number, because the mean of its divisors is an integer number (470288).

Almost surely, 220214432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860736).

20214432 is an abundant number, since it is smaller than the sum of its proper divisors (47507040).

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

20214432 is a wasteful number, since it uses less digits than its factorization.

20214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20214432 is about 4496.0462631072. The cubic root of 20214432 is about 272.4084118318.

Adding to 20214432 its reverse (23441202), we get a palindrome (43655634).

The spelling of 20214432 in words is "twenty million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 271 288 296 333 336 444 504 518 542 592 666 672 777 813 888 1008 1036 1084 1184 1332 1554 1626 1776 1897 2016 2072 2168 2331 2439 2664 3108 3252 3552 3794 4144 4336 4662 4878 5328 5691 6216 6504 7588 8288 8672 9324 9756 10027 10656 11382 12432 13008 15176 17073 18648 19512 20054 22764 24864 26016 30081 30352 34146 37296 39024 40108 45528 60162 60704 68292 70189 74592 78048 80216 90243 91056 120324 136584 140378 160432 180486 182112 210567 240648 273168 280756 320864 360972 421134 481296 546336 561512 631701 721944 842268 962592 1123024 1263402 1443888 1684536 2246048 2526804 2887776 3369072 5053608 6738144 10107216 20214432