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22213320 = 2335375003
BaseRepresentation
bin101010010111…
…1001011001000
31112210112221120
41110233023020
521141311240
62112035240
7356544603
oct124571310
945715846
1022213320
11115a2218
127532b20
1347a999c
142d4333a
151e3bad0
hex152f2c8

22213320 has 64 divisors (see below), whose sum is σ = 68454720. Its totient is φ = 5762304.

The previous prime is 22213313. The next prime is 22213343. The reversal of 22213320 is 2331222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22213320.

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, 1939 + ... + 6941.

It is an arithmetic number, because the mean of its divisors is an integer number (1069605).

Almost surely, 222213320 is an apocalyptic number.

22213320 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 22213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34227360).

22213320 is an abundant number, since it is smaller than the sum of its proper divisors (46241400).

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

22213320 is a wasteful number, since it uses less digits than its factorization.

22213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22213320 is about 4713.1008900723. The cubic root of 22213320 is about 281.1066746279.

Adding to 22213320 its reverse (2331222), we get a palindrome (24544542).

The spelling of 22213320 in words is "twenty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 5003 10006 15009 20012 25015 30018 40024 50030 60036 75045 100060 120072 150090 185111 200120 300180 370222 555333 600360 740444 925555 1110666 1480888 1851110 2221332 2776665 3702220 4442664 5553330 7404440 11106660 22213320