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22226640 = 2435372503
BaseRepresentation
bin101010011001…
…0011011010000
31112211020012220
41110302123100
521142223030
62112221040
7356631462
oct124623320
945736186
1022226640
1111601227
12753a780
1347b2a77
142d48132
151e40a10
hex15326d0

22226640 has 80 divisors (see below), whose sum is σ = 70793088. Its totient is φ = 5764608.

The previous prime is 22226627. The next prime is 22226641. The reversal of 22226640 is 4662222.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22226640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22226641) 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, 7629 + ... + 10131.

Almost surely, 222226640 is an apocalyptic number.

22226640 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 22226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35396544).

22226640 is an abundant number, since it is smaller than the sum of its proper divisors (48566448).

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

22226640 is a wasteful number, since it uses less digits than its factorization.

22226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

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

The square root of 22226640 is about 4714.5137607181. The cubic root of 22226640 is about 281.1628510232.

Adding to 22226640 its reverse (4662222), we get a palindrome (26888862).

It can be divided in two parts, 222 and 26640, that added together give a palindrome (26862).

The spelling of 22226640 in words is "twenty-two million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2503 2960 4440 5006 7509 8880 10012 12515 15018 20024 25030 30036 37545 40048 50060 60072 75090 92611 100120 120144 150180 185222 200240 277833 300360 370444 463055 555666 600720 740888 926110 1111332 1389165 1481776 1852220 2222664 2778330 3704440 4445328 5556660 7408880 11113320 22226640