Search a number
-
+
212323202322 = 237211239927367
BaseRepresentation
bin1100010110111101110…
…0101111010100010010
3202022001011120020002020
43011233130233110102
511434314214433242
6241312343032310
721224365304400
oct3055734572422
9668034506066
10212323202322
1182055a04530
123519673b696
131703941667a
14a3c29d2470
1557ca2886ec
hex316f72f512

212323202322 has 96 divisors (see below), whose sum is σ = 539127705600. Its totient is φ = 55123881120.

The previous prime is 212323202309. The next prime is 212323202323. The reversal of 212323202322 is 223202323212.

It is a super-2 number, since 2×2123232023222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212323202292 and 212323202301.

It is not an unprimeable number, because it can be changed into a prime (212323202323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7744683 + ... + 7772049.

It is an arithmetic number, because the mean of its divisors is an integer number (5615913600).

Almost surely, 2212323202322 is an apocalyptic number.

212323202322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212323202322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269563852800).

212323202322 is an abundant number, since it is smaller than the sum of its proper divisors (326804503278).

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

212323202322 is a wasteful number, since it uses less digits than its factorization.

212323202322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29796 (or 29789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 212323202322 its reverse (223202323212), we get a palindrome (435525525534).

The spelling of 212323202322 in words is "two hundred twelve billion, three hundred twenty-three million, two hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 2399 3234 4798 7197 14394 16793 26389 27367 33586 50379 52778 54734 79167 82101 100758 117551 158334 164202 184723 191569 235102 301037 352653 369446 383138 554169 574707 602074 705306 903111 1108338 1149414 1293061 1340983 1806222 2107259 2586122 2681966 3879183 4022949 4214518 6321777 7758366 8045898 12643554 14750813 29501626 44252439 65653433 88504878 131306866 196960299 393920598 459574031 722187763 919148062 1378722093 1444375526 2166563289 2757444186 3217018217 4333126578 5055314341 6434036434 9651054651 10110628682 15165943023 19302109302 30331886046 35387200387 70774400774 106161601161 212323202322