Search a number
-
+
233213000212 = 222331657151013
BaseRepresentation
bin1101100100110010010…
…0111111101000010100
3211021222000101220120101
43121030210333220110
512310110012001322
6255045255543444
722564143536263
oct3311444775024
9737860356511
10233213000212
118a9a5727905
123924668ab84
1318cb825511a
14b40513a5da
1560ee1b8327
hex364c93fa14

233213000212 has 24 divisors (see below), whose sum is σ = 410124425256. Its totient is φ = 116035204608.

The previous prime is 233213000191. The next prime is 233213000219. The reversal of 233213000212 is 212000312332.

233213000212 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9792289936 + 223420710276 = 98956^2 + 472674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 233213000212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233213000219) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1468818 + ... + 1619830.

It is an arithmetic number, because the mean of its divisors is an integer number (17088517719).

Almost surely, 2233213000212 is an apocalyptic number.

It is an amenable number.

233213000212 is a deficient number, since it is larger than the sum of its proper divisors (176911425044).

233213000212 is a wasteful number, since it uses less digits than its factorization.

233213000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152907 (or 152905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 233213000212 its reverse (212000312332), we get a palindrome (445213312544).

The spelling of 233213000212 in words is "two hundred thirty-three billion, two hundred thirteen million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 233 466 932 1657 3314 6628 151013 302026 386081 604052 772162 1544324 35186029 70372058 140744116 250228541 500457082 1000914164 58303250053 116606500106 233213000212