Search a number
-
+
40222001331 = 336171343963
BaseRepresentation
bin100101011101011010…
…110000100010110011
310211211010210101002000
4211131122300202303
51124333313020311
630251105025043
72622511241001
oct453532604263
9124733711060
1040222001331
11160702a8a16
127966325183
133a40070bb5
141d37c79a71
1510a623a056
hex95d6b08b3

40222001331 has 32 divisors (see below), whose sum is σ = 61418211840. Its totient is φ = 26003527200.

The previous prime is 40222001293. The next prime is 40222001333. The reversal of 40222001331 is 13310022204.

40222001331 is a `hidden beast` number, since 402 + 220 + 0 + 13 + 31 = 666.

40222001331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40222001331 - 217 = 40221870259 is a prime.

It is a super-2 number, since 2×402220013312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40222001333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55045 + ... + 288918.

It is an arithmetic number, because the mean of its divisors is an integer number (1919319120).

Almost surely, 240222001331 is an apocalyptic number.

40222001331 is a deficient number, since it is larger than the sum of its proper divisors (21196210509).

40222001331 is a wasteful number, since it uses less digits than its factorization.

40222001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344104 (or 344098 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40222001331 its reverse (13310022204), we get a palindrome (53532023535).

The spelling of 40222001331 in words is "forty billion, two hundred twenty-two million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 61 71 183 213 549 639 1647 1917 4331 12993 38979 116937 343963 1031889 3095667 9287001 20981743 24421373 62945229 73264119 188835687 219792357 566507061 659377071 1489703753 4469111259 13407333777 40222001331