Search a number
-
+
22202664 = 23311372273
BaseRepresentation
bin101010010110…
…0100100101000
31112210000022220
41110230210220
521140441124
62111514040
7356501541
oct124544450
945700286
1022202664
1111595210
127528920
1347a4b93
142d3d4c8
151e38879
hex152c928

22202664 has 64 divisors (see below), whose sum is σ = 62216640. Its totient is φ = 6543360.

The previous prime is 22202657. The next prime is 22202683. The reversal of 22202664 is 46620222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8632 + ... + 10904.

It is an arithmetic number, because the mean of its divisors is an integer number (972135).

Almost surely, 222202664 is an apocalyptic number.

22202664 is a gapful number since it is divisible by the number (24) 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 22202664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31108320).

22202664 is an abundant number, since it is smaller than the sum of its proper divisors (40013976).

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

22202664 is a wasteful number, since it uses less digits than its factorization.

22202664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2326 counting only the distinct ones).

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

The square root of 22202664 is about 4711.9702885311. The cubic root of 22202664 is about 281.0617173404.

Adding to 22202664 its reverse (46620222), we get a palindrome (68822886).

It can be divided in two parts, 2220 and 2664, that added together give a palindrome (4884).

The spelling of 22202664 in words is "twenty-two million, two hundred two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2273 2442 3256 4546 4884 6819 9092 9768 13638 18184 25003 27276 50006 54552 75009 84101 100012 150018 168202 200024 252303 300036 336404 504606 600072 672808 925111 1009212 1850222 2018424 2775333 3700444 5550666 7400888 11101332 22202664