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220371216 = 24313432191
BaseRepresentation
bin11010010001010…
…01100100010000
3120100200000110220
431020221210100
5422403334331
633511153040
75314060452
oct1510514420
9510600426
10220371216
1110343717a
1261975780
133686a690
14213a62d2
1514530296
hexd229910

220371216 has 120 divisors (see below), whose sum is σ = 630959616. Its totient is φ = 65882880.

The previous prime is 220371199. The next prime is 220371227. The reversal of 220371216 is 612173022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1153681 + ... + 1153871.

Almost surely, 2220371216 is an apocalyptic number.

220371216 is a gapful number since it is divisible by the number (26) 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 220371216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315479808).

220371216 is an abundant number, since it is smaller than the sum of its proper divisors (410588400).

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

220371216 is a wasteful number, since it uses less digits than its factorization.

220371216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 220371216 is about 14844.9053887184. The cubic root of 220371216 is about 604.0204223903.

The spelling of 220371216 in words is "two hundred twenty million, three hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 191 208 258 312 344 382 516 559 573 624 688 764 1032 1118 1146 1528 1677 1849 2064 2236 2292 2483 3056 3354 3698 4472 4584 4966 5547 6708 7396 7449 8213 8944 9168 9932 11094 13416 14792 14898 16426 19864 22188 24037 24639 26832 29584 29796 32852 39728 44376 48074 49278 59592 65704 72111 88752 96148 98556 106769 119184 131408 144222 192296 197112 213538 288444 320307 353159 384592 394224 427076 576888 640614 706318 854152 1059477 1153776 1281228 1412636 1708304 2118954 2562456 2825272 4237908 4591067 5124912 5650544 8475816 9182134 13773201 16951632 18364268 27546402 36728536 55092804 73457072 110185608 220371216