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220020320 = 25513139761
BaseRepresentation
bin11010001110100…
…11111001100000
3120100000012010202
431013103321200
5422311122240
633455444332
75311066442
oct1507237140
9510005122
10220020320
11103217583
12618266a8
1336776a50
1421314492
15144b1315
hexd1d3e60

220020320 has 96 divisors (see below), whose sum is σ = 564550560. Its totient is φ = 80547840.

The previous prime is 220020313. The next prime is 220020343. The reversal of 220020320 is 23020022.

220020320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288740 + ... + 289500.

It is an arithmetic number, because the mean of its divisors is an integer number (5880735).

Almost surely, 2220020320 is an apocalyptic number.

220020320 is a gapful number since it is divisible by the number (20) 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 220020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282275280).

220020320 is an abundant number, since it is smaller than the sum of its proper divisors (344530240).

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

220020320 is a wasteful number, since it uses less digits than its factorization.

220020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 220020320 is about 14833.0819454353. The cubic root of 220020320 is about 603.6996591673.

Adding to 220020320 its reverse (23020022), we get a palindrome (243040342).

The spelling of 220020320 in words is "two hundred twenty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 139 160 208 260 278 416 520 556 695 761 1040 1112 1390 1522 1807 2080 2224 2780 3044 3614 3805 4448 5560 6088 7228 7610 9035 9893 11120 12176 14456 15220 18070 19786 22240 24352 28912 30440 36140 39572 49465 57824 60880 72280 79144 98930 105779 121760 144560 158288 197860 211558 289120 316576 395720 423116 528895 791440 846232 1057790 1375127 1582880 1692464 2115580 2750254 3384928 4231160 5500508 6875635 8462320 11001016 13751270 16924640 22002032 27502540 44004064 55005080 110010160 220020320