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220233020 = 22575367443
BaseRepresentation
bin11010010000001…
…11110100111100
3120100101222220112
431020013310330
5422334424040
633504205152
75312643530
oct1510076474
9510358815
10220233020
11103352367
12619097b8
133681c7c7
142136bbc0
1514504365
hexd207d3c

220233020 has 96 divisors (see below), whose sum is σ = 547803648. Its totient is φ = 72813312.

The previous prime is 220233019. The next prime is 220233037. The reversal of 220233020 is 20332022.

220233020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220232986 and 220233004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 496919 + ... + 497361.

It is an arithmetic number, because the mean of its divisors is an integer number (5706288).

Almost surely, 2220233020 is an apocalyptic number.

220233020 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 220233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273901824).

220233020 is an abundant number, since it is smaller than the sum of its proper divisors (327570628).

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

220233020 is a wasteful number, since it uses less digits than its factorization.

220233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 220233020 is about 14840.2499978942. The cubic root of 220233020 is about 603.8941344798.

Adding to 220233020 its reverse (20332022), we get a palindrome (240565042).

The spelling of 220233020 in words is "two hundred twenty million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 67 70 106 134 140 212 265 268 335 371 443 469 530 670 742 886 938 1060 1340 1484 1772 1855 1876 2215 2345 3101 3551 3710 4430 4690 6202 7102 7420 8860 9380 12404 14204 15505 17755 23479 24857 29681 31010 35510 46958 49714 59362 62020 71020 93916 99428 117395 118724 124285 148405 164353 207767 234790 248570 296810 328706 415534 469580 497140 593620 657412 821765 831068 1038835 1573093 1643530 2077670 3146186 3287060 4155340 6292372 7865465 11011651 15730930 22023302 31461860 44046604 55058255 110116510 220233020