Search a number
-
+
22322243120 = 245683408533
BaseRepresentation
bin10100110010100000…
…100110011000110000
32010121200020102221012
4110302200212120300
5331203443234440
614131003050052
71420110636002
oct246240463060
963550212835
1022322243120
119515362711
1243ab810928
13214983a1a8
14111a8a4372
158a9a82e65
hex532826630

22322243120 has 40 divisors (see below), whose sum is σ = 51975329616. Its totient is φ = 8915802368.

The previous prime is 22322243117. The next prime is 22322243137. The reversal of 22322243120 is 2134222322.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×223222431203 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149627 + ... + 258906.

Almost surely, 222322243120 is an apocalyptic number.

22322243120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322243120 is an abundant number, since it is smaller than the sum of its proper divisors (29653086496).

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

22322243120 is a wasteful number, since it uses less digits than its factorization.

22322243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409229 (or 409223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 22322243120 its reverse (2134222322), we get a palindrome (24456465442).

The spelling of 22322243120 in words is "twenty-two billion, three hundred twenty-two million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 683 1366 2732 3415 5464 6830 10928 13660 27320 54640 408533 817066 1634132 2042665 3268264 4085330 6536528 8170660 16341320 32682640 279028039 558056078 1116112156 1395140195 2232224312 2790280390 4464448624 5580560780 11161121560 22322243120