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2022213320 = 235199727431
BaseRepresentation
bin111100010001000…
…1000011011001000
312012221011002011122
41320202020123020
513120141311240
6532355014412
7101053346441
oct17042103310
95187132148
102022213320
11948539886
1248529a408
13262c5403a
141527dc2c8
15bc7ee4b5
hex788886c8

2022213320 has 64 divisors (see below), whose sum is σ = 4839004800. Its totient is φ = 758384640.

The previous prime is 2022213307. The next prime is 2022213329. The reversal of 2022213320 is 233122202.

It is not an unprimeable number, because it can be changed into a prime (2022213329) 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, 60005 + ... + 87435.

It is an arithmetic number, because the mean of its divisors is an integer number (75609450).

Almost surely, 22022213320 is an apocalyptic number.

2022213320 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 2022213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419502400).

2022213320 is an abundant number, since it is smaller than the sum of its proper divisors (2816791480).

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

2022213320 is a wasteful number, since it uses less digits than its factorization.

2022213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27558 (or 27554 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2022213320 is about 44969.0262291725. The cubic root of 2022213320 is about 1264.5683915544.

Adding to 2022213320 its reverse (233122202), we get a palindrome (2255335522).

The spelling of 2022213320 in words is "two billion, twenty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 380 388 485 760 776 970 1843 1940 3686 3880 7372 9215 14744 18430 27431 36860 54862 73720 109724 137155 219448 274310 521189 548620 1042378 1097240 2084756 2605945 2660807 4169512 5211890 5321614 10423780 10643228 13304035 20847560 21286456 26608070 50555333 53216140 101110666 106432280 202221332 252776665 404442664 505553330 1011106660 2022213320