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20228385528 = 23331359122099
BaseRepresentation
bin10010110101101101…
…001010101011111000
31221012202021110022000
4102311231022223320
5312411431314103
613143124301000
71314164303631
oct226555125370
957182243260
1020228385528
11864043a49a
123b06541760
131ba4ac00c0
14d9c776888
157d5d30aa3
hex4b5b4aaf8

20228385528 has 128 divisors (see below), whose sum is σ = 61538400000. Its totient is φ = 6118574976.

The previous prime is 20228385523. The next prime is 20228385547. The reversal of 20228385528 is 82558382202.

20228385528 is a `hidden beast` number, since 20 + 2 + 28 + 3 + 85 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20228385523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104623 + ... + 226721.

It is an arithmetic number, because the mean of its divisors is an integer number (480768750).

Almost surely, 220228385528 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 20228385528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30769200000).

20228385528 is an abundant number, since it is smaller than the sum of its proper divisors (41310014472).

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

20228385528 is a wasteful number, since it uses less digits than its factorization.

20228385528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122186 (or 122176 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 20228385528 in words is "twenty billion, two hundred twenty-eight million, three hundred eighty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 59 72 78 104 108 117 118 156 177 216 234 236 312 351 354 468 472 531 702 708 767 936 1062 1404 1416 1534 1593 2124 2301 2808 3068 3186 4248 4602 6136 6372 6903 9204 12744 13806 18408 20709 27612 41418 55224 82836 122099 165672 244198 366297 488396 732594 976792 1098891 1465188 1587287 2197782 2930376 3174574 3296673 4395564 4761861 6349148 6593346 7203841 8791128 9523722 12698296 13186692 14285583 14407682 19047444 21611523 26373384 28571166 28815364 38094888 42856749 43223046 57142332 57630728 64834569 85713498 86446092 93649933 114284664 129669138 171426996 172892184 187299866 194503707 259338276 280949799 342853992 374599732 389007414 518676552 561899598 749199464 778014828 842849397 1123799196 1556029656 1685698794 2247598392 2528548191 3371397588 5057096382 6742795176 10114192764 20228385528