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2221223340 = 2235734715241
BaseRepresentation
bin1000010001100101…
…0010110110101100
312201210121211121010
42010121102312230
514022113121330
61004224305220
7106021041540
oct20431226654
95653554533
102221223340
11a3a905a76
1251ba72210
1329525284b
14171003a20
15d00103b0
hex84652dac

2221223340 has 96 divisors (see below), whose sum is σ = 7128866304. Its totient is φ = 506211840.

The previous prime is 2221223309. The next prime is 2221223359. The reversal of 2221223340 is 433221222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138120 + ... + 153360.

It is an arithmetic number, because the mean of its divisors is an integer number (74259024).

Almost surely, 22221223340 is an apocalyptic number.

2221223340 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 2221223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564433152).

2221223340 is an abundant number, since it is smaller than the sum of its proper divisors (4907642964).

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

2221223340 is a wasteful number, since it uses less digits than its factorization.

2221223340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15607 (or 15605 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2221223340 is about 47129.8561423648. The cubic root of 2221223340 is about 1304.7603265019.

Adding to 2221223340 its reverse (433221222), we get a palindrome (2654444562).

The spelling of 2221223340 in words is "two billion, two hundred twenty-one million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 347 420 694 1041 1388 1735 2082 2429 3470 4164 4858 5205 6940 7287 9716 10410 12145 14574 15241 20820 24290 29148 30482 36435 45723 48580 60964 72870 76205 91446 106687 145740 152410 182892 213374 228615 304820 320061 426748 457230 533435 640122 914460 1066870 1280244 1600305 2133740 3200610 5288627 6401220 10577254 15865881 21154508 26443135 31731762 37020389 52886270 63463524 74040778 79329405 105772540 111061167 148081556 158658810 185101945 222122334 317317620 370203890 444244668 555305835 740407780 1110611670 2221223340