Search a number
-
+
1223210132200 = 235271245770139
BaseRepresentation
bin10001110011001101000…
…000010110001011101000
311022221022121122222202101
4101303031000112023220
5130020113243212300
62333533542143144
7154242200366650
oct21631500261350
94287277588671
101223210132200
11431840259a31
12179096721ab4
138b46b06ac44
14432bccb5360
1521c426a6b6a
hex11ccd0162e8

1223210132200 has 96 divisors (see below), whose sum is σ = 3250551326400. Its totient is φ = 419346685440.

The previous prime is 1223210132189. The next prime is 1223210132219. The reversal of 1223210132200 is 22310123221.

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 23 ways as a sum of consecutive naturals, for example, 17404731 + ... + 17474869.

It is an arithmetic number, because the mean of its divisors is an integer number (33859909650).

Almost surely, 21223210132200 is an apocalyptic number.

1223210132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223210132200 is an abundant number, since it is smaller than the sum of its proper divisors (2027341194200).

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

1223210132200 is a wasteful number, since it uses less digits than its factorization.

1223210132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82619 (or 82610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1223210132200 its reverse (22310123221), we get a palindrome (1245520255421).

The spelling of 1223210132200 in words is "one trillion, two hundred twenty-three billion, two hundred ten million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 12457 24914 49828 62285 70139 87199 99656 124570 140278 174398 249140 280556 311425 348796 350695 435995 490973 498280 561112 622850 697592 701390 871990 981946 1245700 1402780 1743980 1753475 1963892 2179975 2454865 2491400 2805560 3487960 3506950 3927784 4359950 4909730 7013900 8719900 9819460 12274325 14027800 17439800 19638920 24548650 49097300 98194600 873721523 1747443046 3494886092 4368607615 6116050661 6989772184 8737215230 12232101322 17474430460 21843038075 24464202644 30580253305 34948860920 43686076150 48928405288 61160506610 87372152300 122321013220 152901266525 174744304600 244642026440 305802533050 611605066100 1223210132200