Search a number
-
+
222122320 = 2457396647
BaseRepresentation
bin11010011110101…
…01000101010000
3120110221222112121
431033111011100
5423330403240
634012504024
75335002640
oct1517250520
9513858477
10222122320
11104422872
126247b014
1337031734
1421700520
151477904a
hexd3d5150

222122320 has 40 divisors (see below), whose sum is σ = 590212224. Its totient is φ = 76156032.

The previous prime is 222122309. The next prime is 222122333. The reversal of 222122320 is 23221222.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 222122294 and 222122303.

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, 197764 + ... + 198883.

Almost surely, 2222122320 is an apocalyptic number.

222122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122320 is an abundant number, since it is smaller than the sum of its proper divisors (368089904).

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

222122320 is a wasteful number, since it uses less digits than its factorization.

222122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396667 (or 396661 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 222122320 is about 14903.7686509151. The cubic root of 222122320 is about 605.6160834796.

Adding to 222122320 its reverse (23221222), we get a palindrome (245343542).

The spelling of 222122320 in words is "two hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 396647 793294 1586588 1983235 2776529 3173176 3966470 5553058 6346352 7932940 11106116 13882645 15865880 22212232 27765290 31731760 44424464 55530580 111061160 222122320