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22213223120 = 2451125242299
BaseRepresentation
bin10100101100000000…
…101110001011010000
32010100002002122121102
4110230000232023100
5330443041114440
614112110243532
71414315165304
oct245400561320
963302078542
1022213223120
119469870340
12437b1b65a8
132130088c0a
14110a205d04
158a01eab15
hex52c02e2d0

22213223120 has 40 divisors (see below), whose sum is σ = 56340813600. Its totient is φ = 8077535360.

The previous prime is 22213223117. The next prime is 22213223161. The reversal of 22213223120 is 2132231222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22213223092 and 22213223101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12620270 + ... + 12622029.

It is an arithmetic number, because the mean of its divisors is an integer number (1408520340).

Almost surely, 222213223120 is an apocalyptic number.

22213223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22213223120 is an abundant number, since it is smaller than the sum of its proper divisors (34127590480).

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

22213223120 is a wasteful number, since it uses less digits than its factorization.

22213223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25242323 (or 25242317 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22213223120 its reverse (2132231222), we get a palindrome (24345454342).

It can be divided in two parts, 2 and 2213223120, that added together give a palindrome (2213223122).

The spelling of 22213223120 in words is "twenty-two billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 25242299 50484598 100969196 126211495 201938392 252422990 277665289 403876784 504845980 555330578 1009691960 1110661156 1388326445 2019383920 2221322312 2776652890 4442644624 5553305780 11106611560 22213223120