Search a number
-
+
22423440 = 2435137187
BaseRepresentation
bin101010110001…
…0011110010000
31120012020011210
41111202132100
521220022230
62120340120
7361411314
oct125423620
946166153
1022423440
1111726076
127614640
134851510
142d99b44
151e7deb0
hex1562790

22423440 has 80 divisors (see below), whose sum is σ = 74870208. Its totient is φ = 5518848.

The previous prime is 22423403. The next prime is 22423441. The reversal of 22423440 is 4432422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224234402 = 1005621322867200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22423441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474 + ... + 6713.

Almost surely, 222423440 is an apocalyptic number.

22423440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37435104).

22423440 is an abundant number, since it is smaller than the sum of its proper divisors (52446768).

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

22423440 is a wasteful number, since it uses less digits than its factorization.

22423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 22423440 is about 4735.3394809665. The cubic root of 22423440 is about 281.9902416019.

Adding to 22423440 its reverse (4432422), we get a palindrome (26855862).

The spelling of 22423440 in words is "twenty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 7187 14374 21561 28748 35935 43122 57496 71870 86244 93431 107805 114992 143740 172488 186862 215610 280293 287480 344976 373724 431220 467155 560586 574960 747448 862440 934310 1121172 1401465 1494896 1724880 1868620 2242344 2802930 3737240 4484688 5605860 7474480 11211720 22423440