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20201922 = 23213229229
BaseRepresentation
bin100110100010…
…0000111000010
31102000100211100
41031010013002
520132430142
62000555230
7333466506
oct115040702
942010740
1020201922
1110449004
126922b16
134254300
14297c306
151b90b4c
hex13441c2

20201922 has 72 divisors (see below), whose sum is σ = 49245300. Its totient is φ = 5975424.

The previous prime is 20201917. The next prime is 20201939. The reversal of 20201922 is 22910202.

It can be written as a sum of positive squares in 6 ways, for example, as 7733961 + 12467961 = 2781^2 + 3531^2 .

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 = 20201895 and 20201904.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88104 + ... + 88332.

Almost surely, 220201922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622650).

20201922 is an abundant number, since it is smaller than the sum of its proper divisors (29043378).

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

20201922 is a wasteful number, since it uses less digits than its factorization.

20201922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20201922 is about 4494.6548254566. The cubic root of 20201922 is about 272.3522055783.

The spelling of 20201922 in words is "twenty million, two hundred one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 169 174 229 234 261 338 377 458 507 522 687 754 1014 1131 1374 1521 2061 2262 2977 3042 3393 4122 4901 5954 6641 6786 8931 9802 13282 14703 17862 19923 26793 29406 38701 39846 44109 53586 59769 77402 86333 88218 116103 119538 172666 232206 258999 348309 517998 696618 776997 1122329 1553994 2244658 3366987 6733974 10100961 20201922