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2213220000 = 2535436887
BaseRepresentation
bin1000001111101011…
…0000111010100000
312201020120020002010
42003322300322200
514013041020000
61003340552520
7105563026305
oct20372607240
95636506063
102213220000
11a36339a42
12519252740
132936aca44
1416dd1d0ac
15ce47dd50
hex83eb0ea0

2213220000 has 120 divisors (see below), whose sum is σ = 7260001056. Its totient is φ = 590176000.

The previous prime is 2213219963. The next prime is 2213220013. The reversal of 2213220000 is 223122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×22132200003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41557 + ... + 78443.

Almost surely, 22213220000 is an apocalyptic number.

2213220000 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 2213220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630000528).

2213220000 is an abundant number, since it is smaller than the sum of its proper divisors (5046781056).

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

2213220000 is an equidigital number, since it uses as much as digits as its factorization.

2213220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36920 (or 36897 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2213220000 is about 47044.8721966592. The cubic root of 2213220000 is about 1303.1913701395.

Adding to 2213220000 its reverse (223122), we get a palindrome (2213443122).

The spelling of 2213220000 in words is "two billion, two hundred thirteen million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 36887 60000 73774 110661 147548 184435 221322 295096 368870 442644 553305 590192 737740 885288 922175 1106610 1180384 1475480 1770576 1844350 2213220 2766525 2950960 3541152 3688700 4426440 4610875 5533050 5901920 7377400 8852880 9221750 11066100 13832625 14754800 17705760 18443500 22132200 23054375 27665250 29509600 36887000 44264400 46108750 55330500 69163125 73774000 88528800 92217500 110661000 138326250 147548000 184435000 221322000 276652500 368870000 442644000 553305000 737740000 1106610000 2213220000