Search a number
-
+
2223010001220 = 2235192816939533
BaseRepresentation
bin100000010110010101101…
…110001011000101000100
321212111222101111201010220
4200112111232023011010
5242410211030014340
64421123043144340
7316415155144521
oct40262556130504
97774871451126
102223010001220
11787856212518
122baa016750b0
13131823a34988
1479846904148
153cc5b589ed0
hex20595b8b144

2223010001220 has 96 divisors (see below), whose sum is σ = 6575347255680. Its totient is φ = 559603860480.

The previous prime is 2223010001153. The next prime is 2223010001231. The reversal of 2223010001220 is 221000103222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2223010001220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3149427 + ... + 3790106.

It is an arithmetic number, because the mean of its divisors is an integer number (68493200580).

Almost surely, 22223010001220 is an apocalyptic number.

2223010001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223010001220 is an abundant number, since it is smaller than the sum of its proper divisors (4352337254460).

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

2223010001220 is a wasteful number, since it uses less digits than its factorization.

2223010001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939845 (or 6939843 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2223010001220 its reverse (221000103222), we get a palindrome (2444010104442).

The spelling of 2223010001220 in words is "two trillion, two hundred twenty-three billion, ten million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 281 285 380 562 570 843 1124 1140 1405 1686 2810 3372 4215 5339 5620 8430 10678 16017 16860 21356 26695 32034 53390 64068 80085 106780 160170 320340 6939533 13879066 20818599 27758132 34697665 41637198 69395330 83274396 104092995 131851127 138790660 208185990 263702254 395553381 416371980 527404508 659255635 791106762 1318511270 1582213524 1950008773 1977766905 2637022540 3900017546 3955533810 5850026319 7800035092 7911067620 9750043865 11700052638 19500087730 23400105276 29250131595 37050166687 39000175460 58500263190 74100333374 111150500061 117000526380 148200666748 185250833435 222301000122 370501666870 444602000244 555752500305 741003333740 1111505000610 2223010001220