Search a number
-
+
23212012020 = 223510322316843
BaseRepresentation
bin10101100111100010…
…110011000111110100
32012220200111101101220
4111213202303013310
5340014233341040
614355145550340
71451133563301
oct254742630764
965820441356
1023212012020
11993163720a
1245b97a53b0
13225bc90a72
1411a2b1a0a8
1590cc3d2d0
hex5678b31f4

23212012020 has 96 divisors (see below), whose sum is σ = 65922834432. Its totient is φ = 6101923968.

The previous prime is 23212011997. The next prime is 23212012081. The reversal of 23212012020 is 2021021232.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369719 + ... + 1386561.

It is an arithmetic number, because the mean of its divisors is an integer number (686696192).

Almost surely, 223212012020 is an apocalyptic number.

23212012020 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 23212012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32961417216).

23212012020 is an abundant number, since it is smaller than the sum of its proper divisors (42710822412).

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

23212012020 is a wasteful number, since it uses less digits than its factorization.

23212012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181 (or 17179 counting only the distinct ones).

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

Adding to 23212012020 its reverse (2021021232), we get a palindrome (25233033252).

The spelling of 23212012020 in words is "twenty-three billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 223 309 412 446 515 618 669 892 1030 1115 1236 1338 1545 2060 2230 2676 3090 3345 4460 6180 6690 13380 16843 22969 33686 45938 50529 67372 68907 84215 91876 101058 114845 137814 168430 202116 229690 252645 275628 336860 344535 459380 505290 689070 1010580 1378140 1734829 3469658 3755989 5204487 6939316 7511978 8674145 10408974 11267967 15023956 17348290 18779945 20817948 22535934 26022435 34696580 37559890 45071868 52044870 56339835 75119780 104089740 112679670 225359340 386866867 773733734 1160600601 1547467468 1934334335 2321201202 3868668670 4642402404 5803003005 7737337340 11606006010 23212012020