Search a number
-
+
22668420 = 22353710211
BaseRepresentation
bin101011001111…
…0010010000100
31120122200020010
41112132102010
521300342140
62125510220
7363451455
oct126362204
946580203
1022668420
1111883135
127712370
134908b88
14302112c
151ecb880
hex159e484

22668420 has 48 divisors (see below), whose sum is σ = 65193408. Its totient is φ = 5880960.

The previous prime is 22668407. The next prime is 22668427. The reversal of 22668420 is 2486622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22668427) 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, 2886 + ... + 7325.

It is an arithmetic number, because the mean of its divisors is an integer number (1358196).

Almost surely, 222668420 is an apocalyptic number.

22668420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22668420 is an abundant number, since it is smaller than the sum of its proper divisors (42524988).

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

22668420 is a wasteful number, since it uses less digits than its factorization.

22668420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 22668420 is about 4761.1364189655. The cubic root of 22668420 is about 283.0134552239.

The spelling of 22668420 in words is "twenty-two million, six hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 10211 20422 30633 40844 51055 61266 102110 122532 153165 204220 306330 377807 612660 755614 1133421 1511228 1889035 2266842 3778070 4533684 5667105 7556140 11334210 22668420