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4233142221 = 3711192713559
BaseRepresentation
bin1111110001010000…
…1001111111001101
3101221000101220110020
43330110021333031
532132141022341
61540014532353
7206621054340
oct37424117715
911830356406
104233142221
111882553450
129a18070b9
13526010ca9
142c22c2457
1519b979566
hexfc509fcd

4233142221 has 64 divisors (see below), whose sum is σ = 7436697600. Its totient is φ = 2075025600.

The previous prime is 4233142217. The next prime is 4233142247. The reversal of 4233142221 is 1222413324.

It is a happy number.

It is not a de Polignac number, because 4233142221 - 22 = 4233142217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4233142191 and 4233142200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233142201) 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 63 ways as a sum of consecutive naturals, for example, 1187640 + ... + 1191198.

It is an arithmetic number, because the mean of its divisors is an integer number (116198400).

Almost surely, 24233142221 is an apocalyptic number.

It is an amenable number.

4233142221 is a deficient number, since it is larger than the sum of its proper divisors (3203555379).

4233142221 is a wasteful number, since it uses less digits than its factorization.

4233142221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870.

The product of its digits is 2304, while the sum is 24.

The square root of 4233142221 is about 65062.6023226861. The cubic root of 4233142221 is about 1617.6613897748.

Adding to 4233142221 its reverse (1222413324), we get a palindrome (5455555545).

The spelling of 4233142221 in words is "four billion, two hundred thirty-three million, one hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 271 399 627 813 1463 1897 2981 3559 4389 5149 5691 8943 10677 15447 20867 24913 36043 39149 56639 62601 67621 74739 108129 117447 169917 202863 274043 396473 473347 743831 822129 964489 1189419 1420041 2231493 2893467 5206817 6751423 10609379 15620451 18325291 20254269 31828137 54975873 74265653 128277037 201578201 222796959 384831111 604734603 1411047407 4233142221