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2220450840 = 233355934847
BaseRepresentation
bin1000010001011001…
…0110010000011000
312201202011120221000
42010112112100120
514021413411330
61004155545000
7106011343416
oct20426262030
95652146830
102220450840
11a3a428643
1251b75b160
1329504204a
14170c822b6
15cee0b560
hex84596418

2220450840 has 128 divisors (see below), whose sum is σ = 7527168000. Its totient is φ = 582067584.

The previous prime is 2220450833. The next prime is 2220450851. The reversal of 2220450840 is 480540222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46297 + ... + 81143.

It is an arithmetic number, because the mean of its divisors is an integer number (58806000).

Almost surely, 22220450840 is an apocalyptic number.

2220450840 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 2220450840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763584000).

2220450840 is an abundant number, since it is smaller than the sum of its proper divisors (5306717160).

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

2220450840 is a wasteful number, since it uses less digits than its factorization.

2220450840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34926 (or 34916 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2220450840 is about 47121.6599877381. The cubic root of 2220450840 is about 1304.6090518713.

The spelling of 2220450840 in words is "two billion, two hundred twenty million, four hundred fifty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 90 108 118 120 135 177 180 216 236 270 295 354 360 472 531 540 590 708 885 1062 1080 1180 1416 1593 1770 2124 2360 2655 3186 3540 4248 5310 6372 7080 7965 10620 12744 15930 21240 31860 34847 63720 69694 104541 139388 174235 209082 278776 313623 348470 418164 522705 627246 696940 836328 940869 1045410 1254492 1393880 1568115 1881738 2055973 2090820 2508984 3136230 3763476 4111946 4181640 4704345 6167919 6272460 7526952 8223892 9408690 10279865 12335838 12544920 16447784 18503757 18817380 20559730 24671676 30839595 37007514 37634760 41119460 49343352 55511271 61679190 74015028 82238920 92518785 111022542 123358380 148030056 185037570 222045084 246716760 277556355 370075140 444090168 555112710 740150280 1110225420 2220450840