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222240420 = 223252514919
BaseRepresentation
bin11010011111100…
…01111010100100
3120111011222112200
431033301322210
5423343143140
634015214500
75336004153
oct1517617244
9514158480
10222240420
111044a3576
1262517430
133707340c
142173159a
151479e030
hexd3f1ea4

222240420 has 72 divisors (see below), whose sum is σ = 676952640. Its totient is φ = 59016000.

The previous prime is 222240419. The next prime is 222240443. The reversal of 222240420 is 24042222.

222240420 is a `hidden beast` number, since 2 + 2 + 2 + 240 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222240393 and 222240402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42721 + ... + 47639.

It is an arithmetic number, because the mean of its divisors is an integer number (9402120).

Almost surely, 2222240420 is an apocalyptic number.

222240420 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 222240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338476320).

222240420 is an abundant number, since it is smaller than the sum of its proper divisors (454712220).

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

222240420 is a wasteful number, since it uses less digits than its factorization.

222240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 222240420 is about 14907.7302095255. The cubic root of 222240420 is about 605.7233976045.

Adding to 222240420 its reverse (24042222), we get a palindrome (246282642).

The spelling of 222240420 in words is "two hundred twenty-two million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 4919 5020 7530 9036 9838 11295 14757 15060 19676 22590 24595 29514 44271 45180 49190 59028 73785 88542 98380 147570 177084 221355 295140 442710 885420 1234669 2469338 3704007 4938676 6173345 7408014 11112021 12346690 14816028 18520035 22224042 24693380 37040070 44448084 55560105 74080140 111120210 222240420