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2221323020 = 225717933329
BaseRepresentation
bin1000010001100110…
…1011001100001100
312201210210220022222
42010121223030030
514022124314040
61004230354512
7106021635260
oct20431531414
95653726288
102221323020
11a3a973954
1251babba38
13295289027
1417102c0a0
15d002ebb5
hex8466b30c

2221323020 has 48 divisors (see below), whose sum is σ = 5644779840. Its totient is φ = 716795904.

The previous prime is 2221323019. The next prime is 2221323023. The reversal of 2221323020 is 203231222.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2221323020.

It is not an unprimeable number, because it can be changed into a prime (2221323023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464285 + ... + 469044.

It is an arithmetic number, because the mean of its divisors is an integer number (117599580).

Almost surely, 22221323020 is an apocalyptic number.

2221323020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221323020 is an abundant number, since it is smaller than the sum of its proper divisors (3423456820).

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

2221323020 is a wasteful number, since it uses less digits than its factorization.

2221323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933362 (or 933360 counting only the distinct ones).

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

The square root of 2221323020 is about 47130.9136342592. The cubic root of 2221323020 is about 1304.7798437595.

Adding to 2221323020 its reverse (203231222), we get a palindrome (2424554242).

The spelling of 2221323020 in words is "two billion, two hundred twenty-one million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 933329 1866658 3733316 4666645 6533303 9333290 13066606 15866593 18666580 26133212 31733186 32666515 63466372 65333030 79332965 111066151 130666060 158665930 222132302 317331860 444264604 555330755 1110661510 2221323020