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20220864 = 2631923241
BaseRepresentation
bin100110100100…
…0101111000000
31102001022210220
41031020233000
520134031424
62001223040
7333605646
oct115105700
942038726
1020220864
1110461264
126931a80
13425cb11
142985196
151b96579
hex1348bc0

20220864 has 112 divisors (see below), whose sum is σ = 59009280. Its totient is φ = 6082560.

The previous prime is 20220839. The next prime is 20220869. The reversal of 20220864 is 46802202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83784 + ... + 84024.

Almost surely, 220220864 is an apocalyptic number.

20220864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29504640).

20220864 is an abundant number, since it is smaller than the sum of its proper divisors (38788416).

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

20220864 is a wasteful number, since it uses less digits than its factorization.

20220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20220864 is about 4496.7615013474. The cubic root of 20220864 is about 272.4373011768.

The spelling of 20220864 in words is "twenty million, two hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 138 152 184 192 228 241 276 304 368 437 456 482 552 608 723 736 874 912 964 1104 1216 1311 1446 1472 1748 1824 1928 2208 2622 2892 3496 3648 3856 4416 4579 5244 5543 5784 6992 7712 9158 10488 11086 11568 13737 13984 15424 16629 18316 20976 22172 23136 27474 27968 33258 36632 41952 44344 46272 54948 66516 73264 83904 88688 105317 109896 133032 146528 177376 210634 219792 266064 293056 315951 354752 421268 439584 532128 631902 842536 879168 1064256 1263804 1685072 2527608 3370144 5055216 6740288 10110432 20220864