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2221423020 = 22325372811187
BaseRepresentation
bin1000010001101000…
…0011100110101100
312201210222222111200
42010122003212230
514022141014040
61004232445500
7106022532645
oct20432034654
95653888450
102221423020
11a3aa31aa3
1251bb49890
132952c26bb
141710566cc
15d004e630
hex846839ac

2221423020 has 144 divisors (see below), whose sum is σ = 6950911968. Its totient is φ = 573834240.

The previous prime is 2221423013. The next prime is 2221423021. The reversal of 2221423020 is 203241222.

2221423020 is a `hidden beast` number, since 2 + 221 + 423 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221422984 and 2221423002.

It is not an unprimeable number, because it can be changed into a prime (2221423021) 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 47 ways as a sum of consecutive naturals, for example, 1870867 + ... + 1872053.

It is an arithmetic number, because the mean of its divisors is an integer number (48270222).

Almost surely, 22221423020 is an apocalyptic number.

2221423020 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 2221423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475455984).

2221423020 is an abundant number, since it is smaller than the sum of its proper divisors (4729488948).

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

2221423020 is a wasteful number, since it uses less digits than its factorization.

2221423020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2221423020 is about 47131.9744971500. The cubic root of 2221423020 is about 1304.7994230860.

Adding to 2221423020 its reverse (203241222), we get a palindrome (2424664242).

The spelling of 2221423020 in words is "two billion, two hundred twenty-one million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 281 333 370 444 555 562 666 740 843 1110 1124 1187 1332 1405 1665 1686 2220 2374 2529 2810 3330 3372 3561 4215 4748 5058 5620 5935 6660 7122 8430 10116 10397 10683 11870 12645 14244 16860 17805 20794 21366 23740 25290 31191 35610 41588 42732 43919 50580 51985 53415 62382 71220 87838 93573 103970 106830 124764 131757 155955 175676 187146 207940 213660 219595 263514 311910 333547 374292 395271 439190 467865 527028 623820 658785 667094 790542 878380 935730 1000641 1317570 1334188 1581084 1667735 1871460 1976355 2001282 2635140 3001923 3335470 3952710 4002564 5003205 6003846 6670940 7905420 10006410 12007692 12341239 15009615 20012820 24682478 30019230 37023717 49364956 60038460 61706195 74047434 111071151 123412390 148094868 185118585 222142302 246824780 370237170 444284604 555355755 740474340 1110711510 2221423020