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20422864 = 247113137
BaseRepresentation
bin100110111101…
…0000011010000
31102102120220101
41031322003100
520212012424
62005422144
7335406610
oct115720320
942376811
1020422864
111058a000
126a0a954
134300a47
1429d8a40
151bd6344
hex137a0d0

20422864 has 80 divisors (see below), whose sum is σ = 50103936. Its totient is φ = 7898880.

The previous prime is 20422859. The next prime is 20422867. The reversal of 20422864 is 46822402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20422867) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149004 + ... + 149140.

Almost surely, 220422864 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 20422864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25051968).

20422864 is an abundant number, since it is smaller than the sum of its proper divisors (29681072).

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

20422864 is a wasteful number, since it uses less digits than its factorization.

20422864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 20422864 is about 4519.1662947938. The cubic root of 20422864 is about 273.3414843230.

The spelling of 20422864 in words is "twenty million, four hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 137 154 176 242 274 308 484 548 616 847 959 968 1096 1232 1331 1507 1694 1918 1936 2192 2662 3014 3388 3836 5324 6028 6776 7672 9317 10549 10648 12056 13552 15344 16577 18634 21098 21296 24112 33154 37268 42196 66308 74536 84392 116039 132616 149072 168784 182347 232078 265232 364694 464156 729388 928312 1276429 1458776 1856624 2552858 2917552 5105716 10211432 20422864