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2221223220 = 2232537333517
BaseRepresentation
bin1000010001100101…
…0010110100110100
312201210121211102200
42010121102310310
514022113120340
61004224304500
7106021041306
oct20431226464
95653554380
102221223220
11a3a905977
1251ba72130
13295252788
14171003976
15d0010330
hex84652d34

2221223220 has 72 divisors (see below), whose sum is σ = 6919831464. Its totient is φ = 576315648.

The previous prime is 2221223203. The next prime is 2221223233. The reversal of 2221223220 is 223221222.

2221223220 is a `hidden beast` number, since 2 + 221 + 223 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107246736 + 2113976484 = 10356^2 + 45978^2 .

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 = 2221223193 and 2221223202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 160099 + ... + 173418.

Almost surely, 22221223220 is an apocalyptic number.

2221223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221223220 is an abundant number, since it is smaller than the sum of its proper divisors (4698608244).

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

2221223220 is a wasteful number, since it uses less digits than its factorization.

2221223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333569 (or 333564 counting only the distinct ones).

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

The square root of 2221223220 is about 47129.8548692864. The cubic root of 2221223220 is about 1304.7603030057.

Adding to 2221223220 its reverse (223221222), we get a palindrome (2444444442).

The spelling of 2221223220 in words is "two billion, two hundred twenty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 333517 667034 1000551 1334068 1667585 2001102 3001653 3335170 4002204 5002755 6003306 6670340 10005510 12006612 12340129 15008265 20011020 24680258 30016530 37020387 49360516 60033060 61700645 74040774 111061161 123401290 148081548 185101935 222122322 246802580 370203870 444244644 555305805 740407740 1110611610 2221223220