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20214012 = 223713107173
BaseRepresentation
bin100110100011…
…1000011111100
31102000222102010
41031013003330
520133322022
62001131220
7333546660
oct115070374
942028363
1020214012
11104570a5
126929b10
134259970
1429828a0
151b9450c
hex13470fc

20214012 has 96 divisors (see below), whose sum is σ = 58931712. Its totient is φ = 5250816.

The previous prime is 20214001. The next prime is 20214013. The reversal of 20214012 is 21041202.

It is a super-2 number, since 2×202140122 = 817212562272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20214013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116758 + ... + 116930.

It is an arithmetic number, because the mean of its divisors is an integer number (613872).

Almost surely, 220214012 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 20214012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29465856).

20214012 is an abundant number, since it is smaller than the sum of its proper divisors (38717700).

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

20214012 is a wasteful number, since it uses less digits than its factorization.

20214012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20214012 is about 4495.9995551601. Note that the first 3 decimals coincide. The cubic root of 20214012 is about 272.4065251876.

Adding to 20214012 its reverse (21041202), we get a palindrome (41255214).

The spelling of 20214012 in words is "twenty million, two hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 107 156 173 182 214 273 321 346 364 428 519 546 642 692 749 1038 1092 1211 1284 1391 1498 2076 2247 2249 2422 2782 2996 3633 4173 4494 4498 4844 5564 6747 7266 8346 8988 8996 9737 13494 14532 15743 16692 18511 19474 26988 29211 31486 37022 38948 47229 55533 58422 62972 74044 94458 111066 116844 129577 188916 222132 240643 259154 388731 481286 518308 721929 777462 962572 1443858 1554924 1684501 2887716 3369002 5053503 6738004 10107006 20214012